Operational Markovianization in Randomized Benchmarking
arXiv:2305.04704 · doi:10.1088/2058-9565/ad3f44
Abstract
A crucial task to obtain optimal and reliable quantum devices is to quantify their overall performance. The average fidelity of quantum gates is a particular figure of merit that can be estimated efficiently by Randomized Benchmarking (RB). However, the concept of gate-fidelity itself relies on the crucial assumption that noise behaves in a predictable, time-local, or so-called Markovian manner, whose breakdown can naturally become the leading source of errors as quantum devices scale in size and depth. We analytically show that error suppression techniques such as Dynamical Decoupling (DD) and Randomized Compiling (RC) can operationally Markovianize RB: i) fast DD reduces non-Markovian RB to an exponential decay plus longer-time corrections, while on the other hand, ii) RC generally does not affect the average, but iii) it always suppresses the variance of such RB outputs. We demonstrate these effects numerically with a qubit noise model. Our results show that simple and efficient error suppression methods can simultaneously tame non-Markovian noise and allow for standard and reliable gate quality estimation, a fundamentally important task in the path toward fully functional quantum devices.
12+19 pages, 10 figures
References in corpus (66)
- Non-Markovian dynamics in open quantum systems
- Randomized Benchmarking of Quantum Gates
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Noise tailoring for scalable quantum computation via randomized compiling
- Theoretical framework for quantum networks
- Scalable Noise Estimation with Random Unitary Operators
- Characterizing Quantum Gates via Randomized Benchmarking
- Quantum Circuits Architecture
- Non-Markovian quantum processes: complete framework and efficient characterisation
- Quantum certification and benchmarking
- Characterization of addressability by simultaneous randomized benchmarking
- Operational Markov condition for quantum processes
- Quantum causal modelling
- Characterizing large-scale quantum computers via cycle benchmarking
- Optimal quantum control using randomized benchmarking
- Quantum Channels with Memory
- Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
- Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
- Estimating the Coherence of Noise
- Optimal discrimination of quantum operations
- Quantification and Characterization of Leakage Errors
- Quantum stochastic processes and quantum non-Markovian phenomena
- Randomized Benchmarking with Confidence
- Dynamical decoupling for superconducting qubits: a performance survey
- Demonstration of non-Markovian process characterisation and control on a quantum processor
- Theory of quantum system certification: a tutorial
- Investigating the limits of randomized benchmarking protocols
- A general framework for randomized benchmarking
- Completely Positive Divisibility Does Not Mean Markovianity
- Combining dynamical decoupling with fault-tolerant quantum computation
- Non-Markovian Quantum Process Tomography
- Simulation complexity of open quantum dynamics: Connection with tensor networks
- The effect of noise correlations on randomized benchmarking
- Scalable randomized benchmarking of quantum computers using mirror circuits
- An introduction to operational quantum dynamics
- Kolmogorov extension theorem for (quantum) causal modelling and general probabilistic theories
- Quantum error correction of coherent errors by randomization
- Dynamical decoupling efficiency versus quantum non-Markovianity
- A taxonomy of small Markovian errors
- Experimental characterisation of a non-Markovian quantum process
- Causal Boxes: Quantum Information-Processing Systems Closed under Composition
- Randomized benchmarking for non-Markovian noise
- Character randomized benchmarking for non-multiplicity-free groups with applications to subspace, leakage, and matchgate randomized benchmarking
- Genuine Multipartite Entanglement in Time
- On multipartite invariant states I. Unitary symmetry
- Dynamical Decoupling of Unbounded Hamiltonians
- Learning correlated noise in a 39-qubit quantum processor
- Estimating gate-set properties from random sequences
- Hidden non-Markovianity in open quantum systems
- Identification of different types of high-frequency defects in superconducting qubits
- Averaged circuit eigenvalue sampling
- Extracting Quantum Dynamical Resources: Consumption of Non-Markovianity for Noise Reduction
- Filtering crosstalk from bath non-Markovianity via spacetime classical shadows
- Dynamical Decoupling and Homogenization of continuous variable systems
- Quantifying Non-Markovianity in Open Quantum Dynamics
- Benchmarking quantum logic operations relative to thresholds for fault tolerance
- Randomized Benchmarking Beyond Groups
- Memory Effects in Quantum Processes
- Towards a general framework of Randomized Benchmarking incorporating non-Markovian Noise
- Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses
- High-fidelity gate operations for quantum computing beyond dephasing time limits
- Efficacy of noisy dynamical decoupling
- Concepts and conditions for error suppression through randomized compiling
- From the Heisenberg to the Schrödinger Picture: Quantum Stochastic Processes and Process Tensors
- A framework for randomized benchmarking over compact groups
- Non-Exponential Behaviour in Logical Randomized Benchmarking
Cited by in corpus (6)
- Benchmarking quantum computers
- Gate Operations for Superconducting Qubits and Non-Markovianity
- Quantum processes as thermodynamic resources: the role of non-Markovianity
- Impact of time-retarded noise on dynamical decoupling schemes for qubits
- Relations between Markovian and non-Markovian correlations in multitime quantum processes
- Process tensor distinguishability measures