Parameterized process characterization with reduced resource requirements
arXiv:2109.10873 · doi:10.1103/PhysRevA.105.052408
Abstract
Quantum Process Tomography (QPT) is a powerful tool to characterize quantum operations, but it requires considerable resources making it impractical for more than 2-qubit systems. This work proposes an alternative approach that requires significantly fewer resources for unitary process characterization without prior knowledge of the process and provides a built-in method for state preparation and measurement (SPAM) error mitigation. By measuring the quantum process as rotated through the X and Y axes on the Bloch Sphere, we can acquire enough information to reconstruct the quantum process matrix and measure its fidelity. We test the algorithm's performance against standard QPT using simulated and physical experiments on several IBM quantum processors and compare the resulting process matrices. We demonstrate in numerical experiments that the method can improve gate fidelity via a noise reduction in the imaginary part of the process matrix, along with a stark decrease in the number of experiments needed to perform the characterization.
arXiv comment10 pages, 6 figures
References in corpus (38)
- Quantum state tomography via compressed sensing
- Randomized Benchmarking of Quantum Gates
- Prescription for experimental determination of the dynamics of a quantum black box
- Robust randomized benchmarking of quantum processes
- Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
- Scalable Noise Estimation with Random Unitary Operators
- Quantum Process Tomography: Resource Analysis of Different Strategies
- Efficient measurement of quantum gate error by interleaved randomized benchmarking
- Optimal, reliable estimation of quantum states
- Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators
- Ancilla-assisted quantum process tomography
- Quantum certification and benchmarking
- Tomography of Quantum Operations
- Efficient measurement of quantum dynamics via compressive sensing
- Gate Set Tomography
- Reliable Quantum State Tomography
- Qiskit Pulse: Programming Quantum Computers Through the Cloud with Pulses
- Direct Characterization of Quantum Dynamics
- Scalable reconstruction of density matrices
- Error-Mitigated Quantum Gates Exceeding Physical Fidelities in a Trapped-Ion System
- Choi's Proof and Quantum Process Tomography
- Imprinting a complete information about a quantum channel on its output state
- Quantum process tomography of unitary and near-unitary maps
- Introduction to Quantum Gate Set Tomography
- Compressed sensing quantum process tomography for superconducting quantum gates
- Direct Characterization of Quantum Dynamics: General Theory
- Adaptive compressive tomography with no a priori information
- Bootstrapping quantum process tomography via a perturbative ansatz
- Objective Compressive Quantum Process Tomography
- Universal compressive characterization of quantum dynamics
- Adaptive compressive tomography: a numerical study
- Characterization of quantum dynamics using quantum error correction
- Confidence Polytopes in Quantum State Tomography
- Quantum Model Averaging
- Quantum code for quantum error characterization
- How long does it take to obtain a physical density matrix?
- Error matrices in quantum process tomography
- Not all entangled states are useful for ancilla-assisted quantum process tomography