こういうのって書いておかないと、TOPOS－Ξって大丈夫なの？とかなるよね？知らんけど。

// 1. Bell State Creation (量子もつれ)
space BellState {
    properties {
        dimension: Topology<Number> = 2
        continuous: Topology<Boolean> = true
        quantum: Boolean = true
    }
    
    shape EntangledPair {
        properties {
            entangled: Boolean = true
        }
        
        mapping create_bell_state() {
            path {
                initialize_qubits(|0⟩ ⊗ |0⟩) ->
                apply_hadamard(qubit1) ->
                apply_cnot(qubit1, qubit2) ->
                verify_entanglement
            }
        }
        
        mapping measure_correlation() {
            path {
                measure_qubit1 ->
                measure_qubit2 ->
                compare_results
            }
        }
    }
}

// 2. Quantum Teleportation
space QuantumTeleportation {
    properties {
        dimension: Topology<Number> = 3
        continuous: Topology<Boolean> = true
        quantum: Boolean = true
    }
    
    shape Teleporter {
        properties {
            state_preserved: Boolean = true
        }
        
        mapping teleport() {
            path {
                create_entangled_pair ->
                bell_measurement(source, entangled1) ->
                transmit_classical_bits ->
                apply_correction(entangled2) ->
                verify_state
            }
        }
    }
}

// 3. Quantum Random Number Generator
space QuantumRNG {
    properties {
        dimension: Topology<Number> = 1
        continuous: Topology<Boolean> = true
        quantum: Boolean = true
    }
    
    shape RandomGenerator {
        properties {
            bits_required: Number
        }
        
        mapping generate_random() {
            path {
                prepare_superposition ->
                hadamard_transform ->
                measure_all ->
                verify_randomness
            }
        }
    }
}

// 4. Simple Quantum Algorithm (Deutsch's Algorithm)
space DeutschAlgorithm {
    properties {
        dimension: Topology<Number> = 2
        continuous: Topology<Boolean> = true
        quantum: Boolean = true
    }
    
    shape BalancedChecker {
        properties {
            oracle_defined: Boolean = true
        }
        
        mapping check_balanced() {
            path {
                initialize_qubits ->
                prepare_superposition ->
                apply_oracle ->
                hadamard_transform ->
                measure_result
            }
        }
    }
}

// 5. Quantum Error Detection
space ErrorDetection {
    properties {
        dimension: Topology<Number> = 2
        continuous: Topology<Boolean> = true
        quantum: Boolean = true
    }
    
    shape BitFlipDetector {
        properties {
            code_distance: Number = 3
        }
        
        mapping detect_error() {
            path {
                encode_state ->
                introduce_noise ->
                measure_syndrome ->
                identify_error_type
            }
        }
        
        mapping correct_error() {
            path {
                analyze_syndrome ->
                determine_correction ->
                apply_correction ->
                verify_state
            }
        }
    }
}