Perturbative tomography of small errors in quantum gates
arXiv:2009.08189 · doi:10.1103/PhysRevA.103.032421
Abstract
We propose an efficient protocol to fully reconstruct a set of high-fidelity quantum gates. Usually, the efficiency of reconstructing high-fidelity quantum gates is limited by the sampling noise. Our protocol is based on a perturbative approach and has two stages. In the first stage, the initial part of noisy quantum gates is reconstructed by measuring traces of maps, and the trace can be measured by amplifying the noise in a way similar to randomised benchmarking and quantum spectral tomography. In the second stage, by amplifying the non-unital part using the unital part, we can efficiently reconstruct the non-unital part. We show that the number of measurements needed in our protocol scales logarithmically with the error rate of gates.
References in corpus (38)
- Surface codes: Towards practical large-scale quantum computation
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Error mitigation for short-depth quantum circuits
- Randomized Benchmarking of Quantum Gates
- Extending the computational reach of a noisy superconducting quantum processor
- Prescription for experimental determination of the dynamics of a quantum black box
- Quantum Error Correction and Orthogonal Geometry
- Robust randomized benchmarking of quantum processes
- Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
- Efficient variational quantum simulator incorporating active error minimisation
- High-fidelity preparation, gates, memory and readout of a trapped-ion quantum bit
- Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
- Practical Quantum Error Mitigation for Near-Future Applications
- Scalable Noise Estimation with Random Unitary Operators
- Characterizing Quantum Gates via Randomized Benchmarking
- Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
- Ancilla-assisted quantum process tomography
- Tomography of Quantum Operations
- Self-Consistent Quantum Process Tomography
- Soundness and completeness of quantum root-mean-square errors
- Dynamics of initially entangled open quantum systems
- Quantum computation with realistic magic state factories
- Three Qubit Randomized Benchmarking
- Characterizing errors on qubit operations via iterative randomized benchmarking
- Direct Characterization of Quantum Dynamics
- Quantum computation with universal error mitigation on superconducting quantum processor
- What randomized benchmarking actually measures
- Error-Mitigated Quantum Gates Exceeding Physical Fidelities in a Trapped-Ion System
- Robust Extraction of Tomographic Information via Randomized Benchmarking
- Randomized benchmarking with gate-dependent noise
- Robust, self-consistent, closed-form tomography of quantum logic gates on a trapped ion qubit
- Introduction to Quantum Gate Set Tomography
- Experimental Estimation of Average Fidelity of a Clifford Gate on a 7-qubit Quantum Processor
- Self-consistent tomography of the state-measurement Gram matrix
- Randomized benchmarking for individual quantum gates
- Bootstrapping quantum process tomography via a perturbative ansatz
- Gauge invariant information concerning quantum channels
- Self-consistent tomography of temporally correlated errors