Pauli Error Propagation-Based Gate Reschedulingfor Quantum Circuit Error Mitigation

• URL: http://arxiv.org/abs/2201.12946v1
• Date: Mon, 31 Jan 2022 00:55:41 GMT
• Title: Pauli Error Propagation-Based Gate Reschedulingfor Quantum Circuit Error Mitigation
• Authors: Vedika Saravanan, Samah Mohamed Saeed
• Abstract summary: Noisy Intermediate-Scale Quantum (NISQ) algorithms should be carefully designed to boost the output state fidelity. In the presence of spatial variation in the error rate of the quantum gates, adjusting the circuit structure can play a major role in mitigating errors. We propose advanced predictive techniques to project the success rate of the circuit, and develop a new compilation phase post-quantum circuit mapping to improve its reliability.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Noisy Intermediate-Scale Quantum (NISQ) algorithms, which run on noisy quantum computers should be carefully designed to boost the output state fidelity. While several compilation approaches have been proposed to minimize circuit errors, they often omit the detailed circuit structure information that does not affect the circuit depth or the gate count. In the presence of spatial variation in the error rate of the quantum gates, adjusting the circuit structure can play a major role in mitigating errors. In this paper, we exploit the freedom of gate reordering based on the commutation rules to show the impact of gate error propagation paths on the output state fidelity of the quantum circuit, propose advanced predictive techniques to project the success rate of the circuit, and develop a new compilation phase post-quantum circuit mapping to improve its reliability. Our proposed approaches have been validated using a variety of quantum circuits with different success metrics, which are executed on IBM quantum computers. Our results show that rescheduling quantum gates based on their error propagation paths can significantly improve the fidelity of the quantum circuit in the presence of variable gate error rates.

Related papers

• Quantum Error Mitigation via Linear-Depth Verifier Circuits [0.044998333629984864]
  We provide a method for constructing verifier circuits for any quantum circuit that is accurately represented by a low-dimensional matrix product operator (MPO) By transpiling the circuits to a 2D array of qubits, we estimate the crossover point where the verifier circuit is shallower than the circuit itself, and hence useful for quantum error mitigation (QEM) We conclude that our approach may be useful for calibrating quantum sub-circuits to counter coherent noise but cannot correct for the incoherent noise present in current devices.
  arXiv  Detail & Related papers  (2024-11-05T16:44:18Z)
• QuantumSEA: In-Time Sparse Exploration for Noise Adaptive Quantum Circuits [82.50620782471485]
  QuantumSEA is an in-time sparse exploration for noise-adaptive quantum circuits. It aims to achieve two key objectives: (1) implicit circuits capacity during training and (2) noise robustness. Our method establishes state-of-the-art results with only half the number of quantum gates and 2x time saving of circuit executions.
  arXiv  Detail & Related papers  (2024-01-10T22:33:00Z)
• Robust Quantum Gates against Correlated Noise in Integrated Quantum Chips [11.364693110852738]
  We report the experimental realization of robust quantum gates in superconducting quantum circuits. Our work provides a versatile toolbox for achieving noise-resilient complex quantum circuits.
  arXiv  Detail & Related papers  (2024-01-03T16:12:35Z)
• Comparing planar quantum computing platforms at the quantum speed limit [0.0]
  We present a comparison of the theoretical minimal gate time, i.e., the quantum speed limit (QSL) for realistic two- and multi-qubit gate implementations in neutral atoms and superconducting qubits. We analyze these quantum algorithms in terms of circuit run times and gate counts both in the standard gate model and the parity mapping.
  arXiv  Detail & Related papers  (2023-04-04T12:47:00Z)
• Quantum circuit debugging and sensitivity analysis via local inversions [62.997667081978825]
  We present a technique that pinpoints the sections of a quantum circuit that affect the circuit output the most. We demonstrate the practicality and efficacy of the proposed technique by applying it to example algorithmic circuits implemented on IBM quantum machines.
  arXiv  Detail & Related papers  (2022-04-12T19:39:31Z)
• Analytical and experimental study of center line miscalibrations in M\o lmer-S\o rensen gates [51.93099889384597]
  We study a systematic perturbative expansion in miscalibrated parameters of the Molmer-Sorensen entangling gate. We compute the gate evolution operator which allows us to obtain relevant key properties. We verify the predictions from our model by benchmarking them against measurements in a trapped-ion quantum processor.
  arXiv  Detail & Related papers  (2021-12-10T10:56:16Z)
• Engineering fast bias-preserving gates on stabilized cat qubits [64.20602234702581]
  bias-preserving gates can significantly reduce resource overhead for fault-tolerant quantum computing. In this work, we apply a derivative-based leakage suppression technique to overcome non-adiabatic errors.
  arXiv  Detail & Related papers  (2021-05-28T15:20:21Z)
• Error Mitigation in Quantum Computers through Instruction Scheduling [7.0230815242347475]
  Current quantum devices suffer from the rapid accumulation of error that prevents the storage of quantum information over extended periods. This paper presents TimeStitch, a framework that pinpoints the optimum execution schedules for single-qubit gates within quantum circuits.
  arXiv  Detail & Related papers  (2021-05-04T20:58:58Z)
• Noncyclic Geometric Quantum Gates with Smooth Paths via Invariant-based Shortcuts [4.354697470999286]
  We propose a scheme to realize geometric quantum gates with noncyclic and nonadiabatic evolution via invariant-based shortcuts. Our scheme provides a promising way to realize high-fidelity fault-tolerant quantum gates for scalable quantum computation.
  arXiv  Detail & Related papers  (2021-02-01T15:05:29Z)
• Fault-tolerant Coding for Quantum Communication [71.206200318454]
  encode and decode circuits to reliably send messages over many uses of a noisy channel. For every quantum channel $T$ and every $eps>0$ there exists a threshold $p(epsilon,T)$ for the gate error probability below which rates larger than $C-epsilon$ are fault-tolerantly achievable. Our results are relevant in communication over large distances, and also on-chip, where distant parts of a quantum computer might need to communicate under higher levels of noise.
  arXiv  Detail & Related papers  (2020-09-15T15:10:50Z)
• Boundaries of quantum supremacy via random circuit sampling [69.16452769334367]
  Google's recent quantum supremacy experiment heralded a transition point where quantum computing performed a computational task, random circuit sampling. We examine the constraints of the observed quantum runtime advantage in a larger number of qubits and gates.
  arXiv  Detail & Related papers  (2020-05-05T20:11:53Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.