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org.soulspace.qclojure.application.algorithm.quantum-phase-estimation
quantum-phase-estimationclj
(quantum-phase-estimation phase precision-qubits)Implement quantum phase estimation algorithm.
The quantum phase estimation algorithm estimates the phase φ such that U|ψ⟩ = e^(2πiφ)|ψ⟩ where U is a unitary operator and |ψ⟩ is an eigenstate.
This is a fundamental subroutine used in many quantum algorithms including Shor's factoring algorithm and quantum simulation.
Algorithm steps:
- Initialize n counting qubits in |0⟩ and eigenstate |ψ⟩
- Apply Hadamard to counting qubits
- Apply controlled-U^(2^j) operations
- Apply inverse QFT to counting qubits
- Measure counting qubits to get phase estimate
Parameters:
- phase: The actual phase φ to estimate (for simulation)
- precision-qubits: Number of qubits for phase precision
Returns: Map containing phase estimation results
Example: (quantum-phase-estimation 0.25 4) ;=> Estimates phase φ = 1/4
Implement quantum phase estimation algorithm. The quantum phase estimation algorithm estimates the phase φ such that U|ψ⟩ = e^(2πiφ)|ψ⟩ where U is a unitary operator and |ψ⟩ is an eigenstate. This is a fundamental subroutine used in many quantum algorithms including Shor's factoring algorithm and quantum simulation. Algorithm steps: 1. Initialize n counting qubits in |0⟩ and eigenstate |ψ⟩ 2. Apply Hadamard to counting qubits 3. Apply controlled-U^(2^j) operations 4. Apply inverse QFT to counting qubits 5. Measure counting qubits to get phase estimate Parameters: - phase: The actual phase φ to estimate (for simulation) - precision-qubits: Number of qubits for phase precision Returns: Map containing phase estimation results Example: (quantum-phase-estimation 0.25 4) ;=> Estimates phase φ = 1/4
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