Error detection without post-selection in adaptive quantum circuits
- URL: http://arxiv.org/abs/2509.25326v1
- Date: Mon, 29 Sep 2025 18:00:03 GMT
- Title: Error detection without post-selection in adaptive quantum circuits
- Authors: Eli Chertkov, Andrew C. Potter, David Hayes, Michael Foss-Feig,
- Abstract summary: We show how simulations of open quantum systems can benefit from error detection.<n>We use Quantinuum's H2 quantum computer to perform logical simulations of a non-equilibrium phase transition.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Current quantum computers are limited by errors, but have not yet achieved the scale required to benefit from active error correction in large computations. We show how simulations of open quantum systems can benefit from error detection. In particular, we use Quantinuum's H2 quantum computer to perform logical simulations of a non-equilibrium phase transition using the [[4,2,2]] code. Importantly, by converting detected errors into random resets, which are an intended part of the dissipative quantum dynamics being studied, we avoid any post-selection in our simulations, thereby eliminating the exponential cost typically associated with error detection. The encoded simulations perform near break-even with unencoded simulations at short times.
Related papers
- Reinforcement Learning Control of Quantum Error Correction [108.70420561323692]
Quantum computer learns to self-improve directly from its errors and never stops computing.<n>This work enables a new paradigm: a quantum computer that learns to self-improve directly from its errors and never stops computing.
arXiv Detail & Related papers (2025-11-11T17:32:25Z) - Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [62.46800898243033]
Recent progress in quantum learning theory prompts a question: can linear properties of a large-qubit circuit be efficiently learned from measurement data generated by varying classical inputs?<n>We prove that the sample complexity scaling linearly in $d$ is required to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d.<n>We propose a kernel-based method leveraging classical shadows and truncated trigonometric expansions, enabling a controllable trade-off between prediction accuracy and computational overhead.
arXiv Detail & Related papers (2024-08-22T08:21:28Z) - Logical Error Rates for a [[4,2,2]]-Encoded Variational Quantum Eigensolver Ansatz [0.0]
We develop a framework to estimate the computational accuracy of near-term noisy, intermediate scale quantum computing devices.<n>Results indicate that current quantum computers can achieve error rates that yield useful outcomes for chemical applications.
arXiv Detail & Related papers (2024-05-05T19:02:58Z) - Incoherent Approximation of Leakage in Quantum Error Correction [0.03320194947871346]
Quantum error correcting codes typically do not account for quantum state transitions - leakage - out of the computational subspace.<n>We introduce a Subspace Twirling Approximation (STA) on quantum channels that preserves the incoherence between the computational and leakage subspaces.
arXiv Detail & Related papers (2023-12-16T00:52:23Z) - 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) - Witnessing entanglement in trapped-ion quantum error correction under
realistic noise [41.94295877935867]
Quantum Error Correction (QEC) exploits redundancy by encoding logical information into multiple physical qubits.
We present a detailed microscopic error model to estimate the average gate infidelity of two-qubit light-shift gates used in trapped-ion platforms.
We then apply this realistic error model to quantify the multipartite entanglement generated by circuits that act as QEC building blocks.
arXiv Detail & Related papers (2022-12-14T20:00:36Z) - Simulating the Mott transition on a noisy digital quantum computer via
Cartan-based fast-forwarding circuits [62.73367618671969]
Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model.
Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models.
This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
arXiv Detail & Related papers (2021-12-10T17:32:15Z) - 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) - Error-mitigated deep-circuit quantum simulation: steady state and
relaxation rate problems [4.762232147934851]
We show that digital quantum simulation of closed quantum systems are robust against the accumulation of Trotter errors.
We propose a new error-mitigation technique based on the scaling behavior in the vicinity of the critical point of a quantum phase transition.
arXiv Detail & Related papers (2021-11-18T11:01:45Z) - Continuous-time dynamics and error scaling of noisy highly-entangling
quantum circuits [58.720142291102135]
We simulate a noisy quantum Fourier transform processor with up to 21 qubits.
We take into account microscopic dissipative processes rather than relying on digital error models.
We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
arXiv Detail & Related papers (2021-02-08T14:55:44Z)
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.