Bell-basis quantum computation: A framework for intrinsic verification

Quantum computation promises exponential speedups over classical algorithms, but current Noisy Intermediate-Scale Quantum (NISQ) devices remain highly susceptible to noise. We introduce a Bell-basis computational framework in which each logical qubit is encoded as an entangled pair whose correlation structure enables intrinsic detectability of correlation-breaking errors. Rather than performing explicit recovery or fault-tolerant correction, the scheme implements an intrinsic verification rule that accepts or discards outcomes based on the preservation of Bell-type correlations. A universal logical gate set acting natively in the Bell basis is derived, and Qiskit simulations confirm that correlation violations can be detected with rates of 4–6% under realistic depolarizing and amplitude-damping noise. This approach provides a postselection-based pathway toward verifiable quantum computation on near-term hardware, offering a pragmatic complement to full quantum error correction.

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Publication Details

Journal
International Journal of Quantum Information
Published
2025-11-20
DOI
https://doi.org/10.1142/s0219749925400064
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
Field-Weighted Citation Impact
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article

Bell-basis quantum computation: A framework for intrinsic verification

Luis Adrián Lizama-Pérez
International Journal of Quantum Information
Quantum Computing Algorithms and Architecture
article

Bell-basis quantum computation: A framework for intrinsic verification

Luis Adrián Lizama-Pérez
article en

Abstract

Quantum computation promises exponential speedups over classical algorithms, but current Noisy Intermediate-Scale Quantum (NISQ) devices remain highly susceptible to noise. We introduce a Bell-basis computational framework in which each logical qubit is encoded as an entangled pair whose correlation structure enables intrinsic detectability of correlation-breaking errors. Rather than performing explicit recovery or fault-tolerant correction, the scheme implements an intrinsic verification rule that accepts or discards outcomes based on the preservation of Bell-type correlations. A universal logical gate set acting natively in the Bell basis is derived, and Qiskit simulations confirm that correlation violations can be detected with rates of 4–6% under realistic depolarizing and amplitude-damping noise. This approach provides a postselection-based pathway toward verifiable quantum computation on near-term hardware, offering a pragmatic complement to full quantum error correction.

International Journal of Quantum Information
Federico Santa María Technical University (CL)
Openalex Percentile: Top 81%
Quantum Computing Algorithms and Architecture
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