agents

%% quantum_process_network.erl
%% Quantum-inspired process networks using Erlang's actor model
%% Simulates quantum entanglement, superposition, and interference for agent coordination
-module(quantum_process_network).
-behaviour(gen_server).

-export([
    start_link/0,
    create_quantum_entanglement/2,
    put_process_in_superposition/2,
    collapse_superposition/2,
    measure_quantum_state/1,
    create_quantum_interference/3,
    implement_quantum_tunneling/3,
    quantum_teleport_state/3,
    create_quantum_circuit/2,
    execute_quantum_algorithm/2
]).

-export([init/1, handle_call/3, handle_cast/2, handle_info/2, terminate/2, code_change/3]).

-define(QUANTUM_REGISTRY, quantum_process_registry).
-define(ENTANGLEMENT_TABLE, quantum_entanglements).
-define(SUPERPOSITION_TABLE, quantum_superpositions).

-record(state, {
    quantum_processes = #{},
    entanglement_pairs = #{},
    superposition_states = #{},
    quantum_circuits = #{},
    measurement_observers = #{},
    decoherence_timers = #{},
    quantum_noise_level = 0.01
}).

-record(quantum_process, {
    pid,
    quantum_id,
    state_vector = #{},
    entangled_with = [],
    in_superposition = false,
    coherence_time,
    last_measurement,
    quantum_gates_applied = [],
    fidelity = 1.0
}).

-record(entanglement_pair, {
    process1_id,
    process2_id,
    entanglement_strength = 1.0,
    bell_state,
    created_at,
    maintained_operations = 0,
    decoherence_rate = 0.001
}).

-record(superposition_state, {
    process_id,
    basis_states = #{},
    amplitude_weights = #{},
    phase_relations = #{},
    coherence_time,
    collapse_probability_func
}).

-record(quantum_gate, {
    type,
    target_qubits,
    parameters = #{},
    execution_time,
    success_probability = 1.0
}).

%% Public API

start_link() ->
    gen_server:start_link({local, ?MODULE}, ?MODULE, [], []).

%% Create quantum entanglement between two processes
create_quantum_entanglement(ProcessId1, ProcessId2) ->
    gen_server:call(?MODULE, {create_entanglement, ProcessId1, ProcessId2}).

%% Put a process into quantum superposition with multiple possible states
put_process_in_superposition(ProcessId, BasisStates) ->
    gen_server:call(?MODULE, {create_superposition, ProcessId, BasisStates}).

%% Collapse superposition and return definite state
collapse_superposition(ProcessId, ObservationContext) ->
    gen_server:call(?MODULE, {collapse_superposition, ProcessId, ObservationContext}).

%% Measure quantum state without collapsing (weak measurement)
measure_quantum_state(ProcessId) ->
    gen_server:call(?MODULE, {measure_state, ProcessId}).

%% Create quantum interference between multiple process states
create_quantum_interference(ProcessIds, InterferencePattern, TargetOutcome) ->
    gen_server:call(?MODULE, {create_interference, ProcessIds, InterferencePattern, TargetOutcome}).

%% Implement quantum tunneling through computational barriers
implement_quantum_tunneling(ProcessId, Barrier, TargetState) ->
    gen_server:call(?MODULE, {quantum_tunnel, ProcessId, Barrier, TargetState}).

%% Quantum teleportation of process state
quantum_teleport_state(SourceId, TargetId, StateToTeleport) ->
    gen_server:call(?MODULE, {quantum_teleport, SourceId, TargetId, StateToTeleport}).

%% Create quantum circuit with multiple gates
create_quantum_circuit(CircuitId, QuantumGates) ->
    gen_server:call(?MODULE, {create_circuit, CircuitId, QuantumGates}).

%% Execute quantum algorithm on process network
execute_quantum_algorithm(AlgorithmType, Parameters) ->
    gen_server:call(?MODULE, {execute_algorithm, AlgorithmType, Parameters}).

%% Gen_server callbacks

init([]) ->
    % Create ETS tables for quantum state management
    ets:new(?QUANTUM_REGISTRY, [named_table, public, {keypos, #quantum_process.quantum_id}]),
    ets:new(?ENTANGLEMENT_TABLE, [named_table, public, set]),
    ets:new(?SUPERPOSITION_TABLE, [named_table, public, {keypos, #superposition_state.process_id}]),
    
    % Start quantum decoherence monitor
    spawn_link(fun() -> quantum_decoherence_monitor() end),
    
    % Initialize quantum random number generator
    initialize_quantum_rng(),
    
    {ok, #state{}}.

handle_call({create_entanglement, ProcessId1, ProcessId2}, _From, State) ->
    Result = establish_quantum_entanglement(ProcessId1, ProcessId2, State),
    {reply, Result, State};

handle_call({create_superposition, ProcessId, BasisStates}, _From, State) ->
    Result = create_process_superposition(ProcessId, BasisStates, State),
    NewState = update_superposition_state(ProcessId, Result, State),
    {reply, Result, NewState};

handle_call({collapse_superposition, ProcessId, Context}, _From, State) ->
    {Result, NewState} = perform_superposition_collapse(ProcessId, Context, State),
    {reply, Result, NewState};

handle_call({measure_state, ProcessId}, _From, State) ->
    Result = perform_weak_measurement(ProcessId, State),
    {reply, Result, State};

handle_call({create_interference, ProcessIds, Pattern, Target}, _From, State) ->
    Result = implement_quantum_interference(ProcessIds, Pattern, Target, State),
    {reply, Result, State};

handle_call({quantum_tunnel, ProcessId, Barrier, TargetState}, _From, State) ->
    Result = execute_quantum_tunneling(ProcessId, Barrier, TargetState, State),
    {reply, Result, State};

handle_call({quantum_teleport, SourceId, TargetId, StateData}, _From, State) ->
    Result = perform_quantum_teleportation(SourceId, TargetId, StateData, State),
    {reply, Result, State};

handle_call({create_circuit, CircuitId, Gates}, _From, State) ->
    NewState = add_quantum_circuit(CircuitId, Gates, State),
    {reply, ok, NewState};

handle_call({execute_algorithm, Algorithm, Parameters}, _From, State) ->
    Result = run_quantum_algorithm(Algorithm, Parameters, State),
    {reply, Result, State};

handle_call(_Request, _From, State) ->
    {reply, {error, unknown_request}, State}.

handle_cast({decoherence_event, ProcessId}, State) ->
    NewState = handle_quantum_decoherence(ProcessId, State),
    {noreply, NewState};

handle_cast({quantum_noise, NoiseLevel}, State) ->
    NewState = State#state{quantum_noise_level = NoiseLevel},
    {noreply, NewState};

handle_cast(_Msg, State) ->
    {noreply, State}.

handle_info({quantum_measurement, ProcessId, Result}, State) ->
    NewState = process_measurement_result(ProcessId, Result, State),
    {noreply, NewState};

handle_info({entanglement_maintenance, PairId}, State) ->
    maintain_entanglement_pair(PairId),
    {noreply, State};

handle_info(_Info, State) ->
    {noreply, State}.

terminate(_Reason, _State) ->
    ok.

code_change(_OldVsn, State, _Extra) ->
    {ok, State}.

%% Quantum Operations Implementation

establish_quantum_entanglement(ProcessId1, ProcessId2, State) ->
    % Create Bell state entanglement between two processes
    BellState = create_bell_state(plus),
    
    EntanglementPair = #entanglement_pair{
        process1_id = ProcessId1,
        process2_id = ProcessId2,
        bell_state = BellState,
        entanglement_strength = 1.0,
        created_at = erlang:system_time(microsecond)
    },
    
    % Store entanglement relationship
    PairId = generate_entanglement_id(ProcessId1, ProcessId2),
    ets:insert(?ENTANGLEMENT_TABLE, {PairId, EntanglementPair}),
    
    % Notify processes of entanglement
    notify_processes_of_entanglement([ProcessId1, ProcessId2], PairId),
    
    % Start entanglement maintenance
    schedule_entanglement_maintenance(PairId),
    
    {ok, #{
        pair_id => PairId,
        bell_state => BellState,
        entanglement_strength => 1.0,
        estimated_coherence_time => calculate_coherence_time(ProcessId1, ProcessId2)
    }}.

create_process_superposition(ProcessId, BasisStates, State) ->
    % Calculate normalized amplitude weights for superposition
    NumStates = length(BasisStates),
    EqualWeight = 1.0 / math:sqrt(NumStates),
    
    AmplitudeWeights = lists:foldl(fun(BasisState, Acc) ->
        maps:put(BasisState, EqualWeight, Acc)
    end, #{}, BasisStates),
    
    % Generate random phase relationships for quantum interference
    PhaseRelations = generate_quantum_phases(BasisStates),
    
    % Create superposition state record
    SuperpositionState = #superposition_state{
        process_id = ProcessId,
        basis_states = list_to_map_with_index(BasisStates),
        amplitude_weights = AmplitudeWeights,
        phase_relations = PhaseRelations,
        coherence_time = calculate_superposition_coherence_time(),
        collapse_probability_func = fun(ObsContext) -> 
            calculate_collapse_probability(BasisStates, ObsContext) 
        end
    },
    
    % Store in ETS table
    ets:insert(?SUPERPOSITION_TABLE, SuperpositionState),
    
    % Schedule decoherence
    schedule_superposition_decoherence(ProcessId),
    
    {ok, #{
        superposition_id => ProcessId,
        basis_states => BasisStates,
        amplitude_weights => AmplitudeWeights,
        phase_relations => PhaseRelations,
        coherence_time => SuperpositionState#superposition_state.coherence_time
    }}.

perform_superposition_collapse(ProcessId, ObservationContext, State) ->
    case ets:lookup(?SUPERPOSITION_TABLE, ProcessId) of
        [SuperpositionState] ->
            % Calculate collapse probabilities based on observation context
            CollapseProbs = calculate_context_dependent_probabilities(
                SuperpositionState, ObservationContext),
            
            % Quantum measurement - probabilistic collapse
            CollapsedState = quantum_measurement_collapse(CollapseProbs),
            
            % Remove from superposition
            ets:delete(?SUPERPOSITION_TABLE, ProcessId),
            
            % Notify entangled processes of collapse
            notify_entangled_processes_of_collapse(ProcessId, CollapsedState, State),
            
            Result = #{
                collapsed_to => CollapsedState,
                measurement_context => ObservationContext,
                collapse_probability => maps:get(CollapsedState, CollapseProbs),
                measurement_time => erlang:system_time(microsecond)
            },
            
            {ok, Result, State};
        [] ->
            {{error, not_in_superposition}, State}
    end.

perform_weak_measurement(ProcessId, State) ->
    % Perform weak measurement without fully collapsing the quantum state
    case ets:lookup(?SUPERPOSITION_TABLE, ProcessId) of
        [SuperpositionState] ->
            % Extract current quantum state
            BasisStates = SuperpositionState#superposition_state.basis_states,
            AmplitudeWeights = SuperpositionState#superposition_state.amplitude_weights,
            
            % Perform weak measurement with minimal disturbance
            MeasurementStrength = 0.1, % Weak coupling parameter
            
            % Calculate measurement probabilities without full collapse
            Probabilities = maps:map(fun(_State, Amplitude) ->
                math:pow(erlang:abs(Amplitude), 2)
            end, AmplitudeWeights),
            
            % Determine most likely state without collapsing
            {MostLikelyState, MaxProb} = maps:fold(fun(State, Prob, {MaxState, MaxP}) ->
                if Prob > MaxP -> {State, Prob};
                   true -> {MaxState, MaxP}
                end
            end, {undefined, 0}, Probabilities),
            
            % Apply small perturbation based on measurement
            PerturbedWeights = maps:map(fun(State, Amplitude) ->
                if State == MostLikelyState ->
                    Amplitude * (1 + MeasurementStrength);
                true ->
                    Amplitude * (1 - MeasurementStrength * 0.1)
                end
            end, AmplitudeWeights),
            
            % Renormalize amplitudes
            NormalizedWeights = normalize_amplitudes(PerturbedWeights),
            
            % Update superposition state with perturbed weights
            UpdatedSuperposition = SuperpositionState#superposition_state{
                amplitude_weights = NormalizedWeights
            },
            ets:insert(?SUPERPOSITION_TABLE, UpdatedSuperposition),
            
            {ok, #{
                measurement_type => weak,
                most_likely_state => MostLikelyState,
                probability => MaxProb,
                measurement_strength => MeasurementStrength,
                state_disturbed => true,
                disturbance_level => minimal
            }};
        [] ->
            % Process not in superposition, perform classical measurement
            {ok, #{
                measurement_type => classical,
                state => get_classical_process_state(ProcessId),
                probability => 1.0,
                state_disturbed => false
            }}
    end.

implement_quantum_interference(ProcessIds, InterferencePattern, TargetOutcome, State) ->
    % Collect quantum states from all participating processes
    QuantumStates = collect_quantum_states(ProcessIds),
    
    % Calculate interference amplitudes
    InterferenceAmplitudes = calculate_interference_amplitudes(
        QuantumStates, InterferencePattern),
    
    % Apply constructive/destructive interference
    ModifiedAmplitudes = apply_interference_pattern(
        InterferenceAmplitudes, TargetOutcome),
    
    % Update process states with interfered amplitudes
    UpdateResults = lists:map(fun(ProcessId) ->
        update_process_quantum_state(ProcessId, ModifiedAmplitudes)
    end, ProcessIds),
    
    % Calculate interference success probability
    SuccessProbability = calculate_interference_success(
        ModifiedAmplitudes, TargetOutcome),
    
    {ok, #{
        interference_pattern => InterferencePattern,
        participating_processes => ProcessIds,
        success_probability => SuccessProbability,
        modified_amplitudes => ModifiedAmplitudes,
        update_results => UpdateResults
    }}.

execute_quantum_tunneling(ProcessId, Barrier, TargetState, State) ->
    % Calculate tunneling probability based on barrier properties
    TunnelingProbability = calculate_tunneling_probability(ProcessId, Barrier),
    
    % Quantum tunneling attempt
    TunnelingSuccess = quantum_random() < TunnelingProbability,
    
    case TunnelingSuccess of
        true ->
            % Successful tunneling - instantaneous state transition
            PreviousState = get_process_quantum_state(ProcessId),
            update_process_state(ProcessId, TargetState),
            
            % Notify system of quantum tunneling event
            notify_quantum_tunneling_event(ProcessId, PreviousState, TargetState),
            
            {ok, #{
                tunneling_successful => true,
                previous_state => PreviousState,
                target_state => TargetState,
                tunneling_probability => TunnelingProbability,
                barrier_overcome => Barrier
            }};
        false ->
            {ok, #{
                tunneling_successful => false,
                tunneling_probability => TunnelingProbability,
                barrier_strength => Barrier,
                retry_suggested => true
            }}
    end.

perform_quantum_teleportation(SourceId, TargetId, StateToTeleport, State) ->
    % Quantum teleportation protocol implementation
    
    % Step 1: Verify entanglement between source and target
    case verify_entanglement(SourceId, TargetId) of
        {ok, EntanglementPair} ->
            % Step 2: Perform Bell measurement on source + state to teleport
            BellMeasurement = perform_bell_measurement(SourceId, StateToTeleport),
            
            % Step 3: Classical communication of measurement results
            ClassicalBits = extract_classical_bits(BellMeasurement),
            
            % Step 4: Apply corrective operations on target based on measurement
            CorrectiveOps = determine_corrective_operations(ClassicalBits),
            apply_corrective_operations(TargetId, CorrectiveOps),
            
            % Step 5: Verify teleportation fidelity
            TeleportationFidelity = calculate_teleportation_fidelity(
                StateToTeleport, get_process_quantum_state(TargetId)),
            
            % Step 6: Destroy original state (no-cloning theorem)
            destroy_quantum_state(SourceId, StateToTeleport),
            
            {ok, #{
                teleportation_successful => TeleportationFidelity > 0.9,
                fidelity => TeleportationFidelity,
                classical_bits => ClassicalBits,
                corrective_operations => CorrectiveOps,
                entanglement_consumed => true
            }};
        {error, no_entanglement} ->
            {error, #{
                reason => no_entanglement_available,
                suggestion => "Create entanglement first between source and target"
            }}
    end.

run_quantum_algorithm(AlgorithmType, Parameters, State) ->
    case AlgorithmType of
        grovers_search ->
            execute_grovers_algorithm(Parameters, State);
        shors_factoring ->
            execute_shors_algorithm(Parameters, State);
        quantum_fourier_transform ->
            execute_qft_algorithm(Parameters, State);
        variational_quantum_eigensolver ->
            execute_vqe_algorithm(Parameters, State);
        quantum_approximate_optimization ->
            execute_qaoa_algorithm(Parameters, State);
        quantum_machine_learning ->
            execute_qml_algorithm(Parameters, State)
    end.

execute_grovers_algorithm(Parameters, State) ->
    % Grover's search algorithm for unstructured search
    SearchSpace = maps:get(search_space, Parameters),
    TargetItem = maps:get(target, Parameters),
    
    % Calculate optimal number of iterations
    N = length(SearchSpace),
    OptimalIterations = round(math:pi() / 4 * math:sqrt(N)),
    
    % Initialize uniform superposition
    InitialState = create_uniform_superposition(SearchSpace),
    
    % Apply Grover iterations
    FinalState = apply_grover_iterations(InitialState, TargetItem, OptimalIterations),
    
    % Measure result
    MeasurementResult = quantum_measurement(FinalState),
    
    % Calculate success probability
    SuccessProbability = calculate_grovers_success_probability(N, OptimalIterations),
    
    {ok, #{
        algorithm => grovers_search,
        search_space_size => N,
        iterations_performed => OptimalIterations,
        measurement_result => MeasurementResult,
        success_probability => SuccessProbability,
        quantum_speedup => math:sqrt(N)
    }}.

%% Utility Functions

create_bell_state(Type) ->
    case Type of
        plus -> #{state => "1/sqrt(2) * (|00⟩ + |11⟩)", entanglement_type => maximally_entangled};
        minus -> #{state => "1/sqrt(2) * (|00⟩ - |11⟩)", entanglement_type => maximally_entangled};
        phi_plus -> #{state => "1/sqrt(2) * (|01⟩ + |10⟩)", entanglement_type => maximally_entangled};
        phi_minus -> #{state => "1/sqrt(2) * (|01⟩ - |10⟩)", entanglement_type => maximally_entangled}
    end.

generate_quantum_phases(BasisStates) ->
    lists:foldl(fun(State, Acc) ->
        Phase = 2 * math:pi() * quantum_random(),
        maps:put(State, Phase, Acc)
    end, #{}, BasisStates).

quantum_random() ->
    % True quantum random number generation simulation
    % In practice, this could interface with actual quantum hardware
    rand:uniform().

calculate_coherence_time(ProcessId1, ProcessId2) ->
    % Estimate based on process characteristics and environmental factors
    BaseCoherence = 1000, % microseconds
    NoiseLevel = 0.01,
    EnvironmentalFactors = analyze_environmental_decoherence(ProcessId1, ProcessId2),
    
    BaseCoherence * (1 - NoiseLevel) * EnvironmentalFactors.

quantum_decoherence_monitor() ->
    % Continuous monitoring of quantum coherence
    receive
        {monitor_process, ProcessId} ->
            spawn(fun() -> monitor_process_coherence(ProcessId) end),
            quantum_decoherence_monitor();
        {stop_monitoring, ProcessId} ->
            stop_process_monitoring(ProcessId),
            quantum_decoherence_monitor();
        stop ->
            ok
    after 1000 ->
        perform_periodic_coherence_check(),
        quantum_decoherence_monitor()
    end.

%% Placeholder implementations for complex quantum operations
generate_entanglement_id(Id1, Id2) -> 
    list_to_binary([atom_to_list(Id1), "_", atom_to_list(Id2)]).
notify_processes_of_entanglement(_Processes, _PairId) -> ok.
schedule_entanglement_maintenance(_PairId) -> ok.
list_to_map_with_index(List) -> 
    lists:foldl(fun({Index, Item}, Acc) -> 
        maps:put(Item, Index, Acc) 
    end, #{}, lists:zip(lists:seq(1, length(List)), List)).
calculate_superposition_coherence_time() -> 5000. % microseconds
schedule_superposition_decoherence(_ProcessId) -> ok.
calculate_context_dependent_probabilities(_State, _Context) -> #{}.
quantum_measurement_collapse(_Probs) -> default_state.
notify_entangled_processes_of_collapse(_ProcessId, _State, _SystemState) -> ok.
collect_quantum_states(_ProcessIds) -> [].
calculate_interference_amplitudes(_States, _Pattern) -> #{}.
apply_interference_pattern(_Amplitudes, _Target) -> #{}.
update_process_quantum_state(_ProcessId, _Amplitudes) -> ok.
calculate_interference_success(_Amplitudes, _Target) -> 0.8.
calculate_tunneling_probability(_ProcessId, _Barrier) -> 0.3.
get_process_quantum_state(_ProcessId) -> default_state.
update_process_state(_ProcessId, _State) -> ok.
notify_quantum_tunneling_event(_ProcessId, _Previous, _Target) -> ok.
verify_entanglement(_Id1, _Id2) -> {error, no_entanglement}.
perform_bell_measurement(_ProcessId, _State) -> #{}.
extract_classical_bits(_Measurement) -> [0, 1].
determine_corrective_operations(_Bits) -> [].
apply_corrective_operations(_ProcessId, _Ops) -> ok.
calculate_teleportation_fidelity(_Original, _Final) -> 0.95.
destroy_quantum_state(_ProcessId, _State) -> ok.
execute_shors_algorithm(_Params, _State) -> {ok, #{}}.
execute_qft_algorithm(_Params, _State) -> {ok, #{}}.
execute_vqe_algorithm(_Params, _State) -> {ok, #{}}.
execute_qaoa_algorithm(_Params, _State) -> {ok, #{}}.
execute_qml_algorithm(_Params, _State) -> {ok, #{}}.
create_uniform_superposition(_SearchSpace) -> #{}.
apply_grover_iterations(_State, _Target, _Iterations) -> #{}.
quantum_measurement(_State) -> measurement_result.
calculate_grovers_success_probability(_N, _Iterations) -> 0.9.
analyze_environmental_decoherence(_Id1, _Id2) -> 0.8.
monitor_process_coherence(_ProcessId) -> ok.
stop_process_monitoring(_ProcessId) -> ok.
perform_periodic_coherence_check() -> ok.
initialize_quantum_rng() -> ok.
update_superposition_state(_ProcessId, _Result, State) -> State.
handle_quantum_decoherence(_ProcessId, State) -> State.
process_measurement_result(_ProcessId, _Result, State) -> State.
maintain_entanglement_pair(_PairId) -> ok.
add_quantum_circuit(_CircuitId, _Gates, State) -> State.
calculate_collapse_probability(_States, _Context) -> 0.5.

normalize_amplitudes(AmplitudeMap) ->
    % Calculate sum of squared amplitudes
    SumSquared = maps:fold(fun(_State, Amplitude, Sum) ->
        Sum + math:pow(erlang:abs(Amplitude), 2)
    end, 0, AmplitudeMap),
    
    % Normalization factor
    NormFactor = math:sqrt(SumSquared),
    
    % Normalize each amplitude
    maps:map(fun(_State, Amplitude) ->
        Amplitude / NormFactor
    end, AmplitudeMap).

get_classical_process_state(ProcessId) ->
    % Return classical state for a process not in superposition
    % This would typically query the process state from another system
    #{
        process_id => ProcessId,
        state => classical,
        properties => #{
            deterministic => true,
            quantum_properties => none
        }
    }.