Combining Error Detection and Mitigation: A Hybrid Protocol for Near-Term Quantum Simulation

• URL: http://arxiv.org/abs/2510.01181v1
• Date: Wed, 01 Oct 2025 17:59:03 GMT
• Title: Combining Error Detection and Mitigation: A Hybrid Protocol for Near-Term Quantum Simulation
• Authors: Dawei Zhong, William Munizzi, Huo Chen, Wibe Albert de Jong,
• Abstract summary: We develop a hybrid error suppression protocol that integrates Pauli twirling, probabilistic error cancellation, and the $[[n, n-2, 2]]$ quantum error detecting code.<n>We demonstrate our protocol on a non-Clifford variational quantumsolver circuit.
• Score: 1.8611810770846524
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Practical implementation of quantum error correction is currently limited by near-term quantum hardware. In contrast, quantum error mitigation has demonstrated strong promise for improving the performance of noisy quantum circuits without the requirement of full fault tolerance. In this work, we develop a hybrid error suppression protocol that integrates Pauli twirling, probabilistic error cancellation, and the $[[n, n-2, 2]]$ quantum error detecting code. In addition, to reduce overhead from error mitigation components of our method, we modify Pauli twirling by lowering the number of Pauli operators in the twirling set, and apply probabilistic error cancellation at the end of the encoded circuit to remove undetectable errors. Finally, we demonstrate our protocol on a non-Clifford variational quantum eigensolver circuit that estimates the ground state energy of $\rm H_2$ using both \texttt{qiskit} AerSimulator and the IBM quantum processor \texttt{ibm\_brussels}.

Related papers

• Robust Error Accumulation Suppression for Quantum Circuits [0.6282171844772421]
  We present a textitrobust error accumulation suppression (textbfREAS) technique to manage errors in quantum computers.<n>Our method reduces the accumulation of errors in any quantum circuit composed of single- or two-qubit gates.<n>We derive the general form of decoherence noise that can be suppressed by REAS.
  arXiv  Detail & Related papers  (2024-01-30T10:38:53Z)
• Fast Flux-Activated Leakage Reduction for Superconducting Quantum Circuits [84.60542868688235]
  leakage out of the computational subspace arising from the multi-level structure of qubit implementations. We present a resource-efficient universal leakage reduction unit for superconducting qubits using parametric flux modulation. We demonstrate that using the leakage reduction unit in repeated weight-two stabilizer measurements reduces the total number of detected errors in a scalable fashion.
  arXiv  Detail & Related papers  (2023-09-13T16:21:32Z)
• Compilation of a simple chemistry application to quantum error correction primitives [44.99833362998488]
  We estimate the resources required to fault-tolerantly perform quantum phase estimation on a minimal chemical example. We find that implementing even a simple chemistry circuit requires 1,000 qubits and 2,300 quantum error correction rounds.
  arXiv  Detail & Related papers  (2023-07-06T18:00:10Z)
• Error-Mitigated Quantum Routing on Noisy Devices [0.0]
  We experimentally deploy two promising quantum error mitigation methods, Zero-Noise Extrapolation (ZNE) and Probabilistic Error Cancellation (PEC) We also investigate the routing performance provided by the concatenation of these two error-mitigation methods.
  arXiv  Detail & Related papers  (2023-05-23T01:08:01Z)
• Error Correction of Quantum Algorithms: Arbitrarily Accurate Recovery Of Noisy Quantum Signal Processing [4.360680431298019]
  We present a first step in achieving error correction at the level of quantum algorithms by combining a unified perspective on modern quantum algorithms via quantum signal processing. Our algorithmic-level error correction method is applied to Grover's fixed-point search algorithm as a demonstration.
  arXiv  Detail & Related papers  (2023-01-20T12:56:20Z)
• Secure multi-party quantum computation protocol for quantum circuits: the exploitation of triply-even quantum error-correcting codes [2.915868985330569]
  MPQC protocol is a cryptographic primitive allowing error-free distributed quantum computation. We suggest a modified MPQC protocol that adopts unconventional quantum error-correcting codes.
  arXiv  Detail & Related papers  (2022-06-10T04:43:11Z)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code [42.394110572265376]
  We demonstrate quantum error correction using the surface code, which is known for its exceptionally high tolerance to errors. In an error correction cycle taking only $1.1,mu$s, we demonstrate the preservation of four cardinal states of the logical qubit.
  arXiv  Detail & Related papers  (2021-12-07T13:58:44Z)
• Fault-tolerant parity readout on a shuttling-based trapped-ion quantum computer [64.47265213752996]
  We experimentally demonstrate a fault-tolerant weight-4 parity check measurement scheme. We achieve a flag-conditioned parity measurement single-shot fidelity of 93.2(2)%. The scheme is an essential building block in a broad class of stabilizer quantum error correction protocols.
  arXiv  Detail & Related papers  (2021-07-13T20:08:04Z)
• Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs. Coded Systems [69.33243249411113]
  We show that Pauli errors incur the lowest sampling overhead among a large class of realistic quantum channels. We conceive a scheme amalgamating QEM with quantum channel coding, and analyse its sampling overhead reduction compared to pure QEM.
  arXiv  Detail & Related papers  (2020-12-15T15:51:27Z)
• 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)
• Deterministic correction of qubit loss [48.43720700248091]
  Loss of qubits poses one of the fundamental obstacles towards large-scale and fault-tolerant quantum information processors. We experimentally demonstrate the implementation of a full cycle of qubit loss detection and correction on a minimal instance of a topological surface code.
  arXiv  Detail & Related papers  (2020-02-21T19:48:53Z)

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.