Near-Term Reduction in Nonlocal Gate Count from Distributed Logical Qubits
- URL: http://arxiv.org/abs/2604.21722v1
- Date: Thu, 23 Apr 2026 14:25:55 GMT
- Title: Near-Term Reduction in Nonlocal Gate Count from Distributed Logical Qubits
- Abstract summary: We develop techniques for qubit allocation using an exemplar color code family.<n>We show that a 10% reduction in processor-nonlocal gates is achievable in a setting where syndrome extraction occurs after every logical gate.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Modular quantum computing architectures require error correction schemes that remain effective in the presence of noisy inter-processor operations. As such, minimizing the number of such operations on logical circuits partitioned across quantum processors is a primary objective of distributed quantum computing. In this work, we develop basic techniques for qubit allocation using an exemplar color code family and explore generalizations to other color codes. In particular, we show that a 10% reduction in processor-nonlocal gates is achievable in a setting where syndrome extraction occurs after every logical gate, as in today's devices, and that this scales to significantly greater advantages in the multi-qubit case. We also explore methods of achieving universal gate sets efficiently in this distributed logical setting and evaluate the trade-offs of multiple approaches such as magic state distillation, code switching, and a new method based on logical swaps. Finally, we discuss some considerations for an allocation algorithm for these architectures to perform scalably and connect it to existing work on quantum circuit partitions.
Related papers
- Transversal Fanout for Fault Tolerant Distributed Quantum Computing: Analysis and Application [2.720960618356385]
We study a resource-efficient approach for implementing logical fanout operations in fault-tolerant distributed quantum computing.<n>We exploit the structure of encoded blocks and the availability of encoded logical operations to construct distributed fanout circuits.
arXiv Detail & Related papers (2026-09-08T04:26:44Z) - Surface code logical operations on a superconducting quantum processor [66.1042398805403]
We experimentally realize key elements of patch-based surface-code logical processing on a 107-qubit superconducting quantum processor.<n>Our results advance superconducting surface-code experiments from protected logical memory to active, patch-based fault-tolerant logical operations.
arXiv Detail & Related papers (2026-07-01T21:07:02Z) - Lattice Surgery Aware Resource Analysis for the Mapping and Scheduling of Quantum Circuits for Scalable Modular Architectures [2.566848881167754]
Quantum computing platforms are evolving to a point where placing high numbers of qubits into a single core comes with difficulties.<n>We develop a framework that can take any quantum circuit, transpile it to our gate set using Qiskit, and then partition the qubits.<n>We report statistics such as the number of classical communications, the number of EPR pairs and magic states consumed, and timing overheads for pre- and post- processing.
arXiv Detail & Related papers (2025-11-26T20:08:29Z) - Addressable gate-based logical computation with quantum LDPC codes [0.0]
High-rate quantum LDPC codes can reduce error correction overhead, yet realizing high-rate fault-tolerant computation with these codes remains a central challenge.<n>We introduce a gate-based protocol for addressable single- and multi-qubit Clifford operations on individual qubits encoded within one or more quantum LDPC codes.
arXiv Detail & Related papers (2025-11-08T20:26:24Z) - Distributed Quantum Error Correction with Permutation-Invariant Approximate Codes [0.7161783472741748]
We introduce a distributed quantum error correction framework based on approximate codes to address this challenge.<n>We derive a lower bound and present corresponding simulations which indicate that this nontraditional approach can provide marked advantage.<n>Results highlight the potential of approximate distributed error correction strategies for scalable, modular, fault-tolerant quantum computation.
arXiv Detail & Related papers (2025-09-29T17:28:39Z) - Optimization and Synthesis of Quantum Circuits with Global Gates [41.99844472131922]
We use global interactions, such as the Global Molmer-Sorensen gate present in ion trap hardware, to optimize and synthesize quantum circuits.<n>The algorithm is based on the ZX-calculus and uses a specialized circuit extraction routine that groups entangling gates into Global MolmerSorensen gates.<n>We benchmark the algorithm in a variety of circuits, and show how it improves their performance under state-of-the-art hardware considerations.
arXiv Detail & Related papers (2025-07-28T10:25:31Z) - Optimization Driven Quantum Circuit Reduction [20.697821016522358]
We propose three different transpilation approaches to substantially reduce circuit lengths without affecting functionality.<n>The first variant is based on a search scheme, and the other variants are driven by a database retrieval scheme and a machine learning based decision support.<n>We show that our proposed methods generate short quantum circuits for restricted gate sets, superior to the typical results obtained by using different qiskit optimization levels.
arXiv Detail & Related papers (2025-02-20T16:41:10Z) - Near-Term Distributed Quantum Computation using Mean-Field Corrections
and Auxiliary Qubits [77.04894470683776]
We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production.
We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
arXiv Detail & Related papers (2023-09-11T18:00:00Z) - Majorization-based benchmark of the complexity of quantum processors [105.54048699217668]
We numerically simulate and characterize the operation of various quantum processors.
We identify and assess quantum complexity by comparing the performance of each device against benchmark lines.
We find that the majorization-based benchmark holds as long as the circuits' output states have, on average, high purity.
arXiv Detail & Related papers (2023-04-10T23:01:10Z) - Universal qudit gate synthesis for transmons [44.22241766275732]
We design a superconducting qudit-based quantum processor.
We propose a universal gate set featuring a two-qudit cross-resonance entangling gate.
We numerically demonstrate the synthesis of $rm SU(16)$ gates for noisy quantum hardware.
arXiv Detail & Related papers (2022-12-08T18:59:53Z) - Hardware-Conscious Optimization of the Quantum Toffoli Gate [11.897854272643634]
This manuscript expands the analytical and numerical approaches for optimizing quantum circuits at this abstraction level.
We present a procedure for combining the strengths of analytical native gate-level optimization with numerical optimization.
Our optimized Toffoli gate implementation demonstrates an $18%$ reduction in infidelity compared with the canonical implementation.
arXiv Detail & Related papers (2022-09-06T17:29:22Z) - 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) - Logical blocks for fault-tolerant topological quantum computation [55.41644538483948]
We present a framework for universal fault-tolerant logic motivated by the need for platform-independent logical gate definitions.
We explore novel schemes for universal logic that improve resource overheads.
Motivated by the favorable logical error rates for boundaryless computation, we introduce a novel computational scheme.
arXiv Detail & Related papers (2021-12-22T19:00:03Z) - Improving the Performance of Deep Quantum Optimization Algorithms with
Continuous Gate Sets [47.00474212574662]
Variational quantum algorithms are believed to be promising for solving computationally hard problems.
In this paper, we experimentally investigate the circuit-depth-dependent performance of QAOA applied to exact-cover problem instances.
Our results demonstrate that the use of continuous gate sets may be a key component in extending the impact of near-term quantum computers.
arXiv Detail & Related papers (2020-05-11T17:20:51Z)
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.