CQM: Cyclic Qubit Mappings

• URL: http://arxiv.org/abs/2602.20123v2
• Date: Tue, 24 Feb 2026 07:07:45 GMT
• Title: CQM: Cyclic Qubit Mappings
• Authors: Maxwell Poster, Sayam Sethi, Jonathan Baker,
• Abstract summary: We show promise as a path towards fault tolerant quantum computing.<n>We propose cyclic qubit mappings (CQM), a dynamic remapping technique.<n>CQM shows initial promise given it's minimal execution time overhead and effective resource utilization.
• Score: 0.3823356975862005
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum computers show promise to solve select problems otherwise intractable on classical computers. However, noisy intermediate-scale quantum (NISQ) era devices are currently prone to various sources of error. Quantum error correction (QEC) shows promise as a path towards fault tolerant quantum computing. Surface codes, in particular, have become ubiquitous throughout literature for their efficacy as a quantum error correcting code, and can execute quantum circuits via lattice surgery operations. Lattice surgery also allows for logical qubits to maneuver around the architecture, if there is space for it. Hardware used for near-term demonstrations have both spatially and temporally varying error results in logical qubits. By maneuvering logical qubits around the topology, an average logical error rate (LER) can be enforced. We propose cyclic qubit mappings (CQM), a dynamic remapping technique implemented during compilation to mitigate hardware heterogeneity by expanding and contracting logical qubits. In addition to LER averaging, CQM shows initial promise given it's minimal execution time overhead and effective resource utilization.

Related papers

• Exploiting Movable Logical Qubits for Lattice Surgery Compilation [43.290156259065554]
  We introduce a paradigm shift by exploiting movable logical qubits via teleportation during the logical lattice surgery CNOT gate.<n> Numerical simulations show that the proposed approach can substantially reduce the routed circuit depth.<n>An open-source implementation of our method is available on GitHub.
  arXiv  Detail & Related papers  (2025-12-03T19:00:04Z)
• Logical Error Rates for the Surface Code Under a Mixed Coherent and Stochastic Circuit-Level Noise Model Inspired by Trapped Ions [0.5767156832161817]
  We consider logical error rates for the surface code implemented on a hypothetical grid-based trapped-ion quantum charge-coupled device (QCCD) architecture.<n>Specifically, we construct logical channels for the idling surface code and examine its diamond error under a mixed coherent and circuit-level noise model.
  arXiv  Detail & Related papers  (2025-08-19T19:37:09Z)
• Assessing Teleportation of Logical Qubits in a Distributed Quantum Architecture under Error Correction [4.352368481242436]
  We show that non-local operations and teleportation of qubits between nodes are feasible under Surface Code and qLDPC encodings.<n>We use circuit-level simulations to assess physical and network noise regimes ranging from $10-1$ to $10-6$.<n>Our results indicate that non-local CNOTs can be carried out with a logical error rate of $10-12$ for a physical error rate of $10-3$ and ebit noise of $10-2$.
  arXiv  Detail & Related papers  (2025-04-08T01:56:19Z)
• Low-Overhead Transversal Fault Tolerance for Universal Quantum Computation [36.3664581543528]
  We show that logical operations can be performed fault-tolerantly with only a constant number of extraction rounds.<n>Our work sheds new light on the theory of quantum fault tolerance and has the potential to reduce the space-time cost of practical fault-tolerant quantum computation by over an order of magnitude.
  arXiv  Detail & Related papers  (2024-06-25T15:43:25Z)
• Quantum Compiling with Reinforcement Learning on a Superconducting Processor [55.135709564322624]
  We develop a reinforcement learning-based quantum compiler for a superconducting processor. We demonstrate its capability of discovering novel and hardware-amenable circuits with short lengths. Our study exemplifies the codesign of the software with hardware for efficient quantum compilation.
  arXiv  Detail & Related papers  (2024-06-18T01:49:48Z)
• 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)
• Enabling Full-Stack Quantum Computing with Changeable Error-Corrected Qubits [14.770636234849444]
  We propose CECQ to explore the large design space for FTQC based on changeable logical qubits. Experiments on various quantum programs demonstrate the effectiveness of CECQ.
  arXiv  Detail & Related papers  (2023-05-11T18:14:49Z)
• Deep Quantum Error Correction [73.54643419792453]
  Quantum error correction codes (QECC) are a key component for realizing the potential of quantum computing. In this work, we efficiently train novel emphend-to-end deep quantum error decoders. The proposed method demonstrates the power of neural decoders for QECC by achieving state-of-the-art accuracy.
  arXiv  Detail & Related papers  (2023-01-27T08:16:26Z)
• 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)
• Beating the break-even point with a discrete-variable-encoded logical qubit [11.225411597366886]
  Quantum error correction (QEC) aims to protect logical qubits from noises by utilizing the redundancy of a large Hilbert space. In most QEC codes, a logical qubit is encoded in some discrete variables, e.g., photon numbers. Our work illustrates the potential of the hardware-efficient discrete-variable QEC codes towards a reliable quantum information processor.
  arXiv  Detail & Related papers  (2022-11-17T03:38:55Z)
• 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)
• Entangling logical qubits with lattice surgery [47.037230560588604]
  We show the experimental realization of lattice surgery between two topologically encoded qubits in a 10-qubit ion trap quantum information processor. In particular, we demonstrate entanglement between two logical qubits and we implement logical state teleportation.
  arXiv  Detail & Related papers  (2020-06-04T18:00:09Z)

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.