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Characterization of quantum dynamics using quantum error correction

2014/05/31 by S. Omkar, R. Srikanth, S. Banerjee +1 · 27 citations
Computer Science · Physics and Astronomy · #Algorithm #Artificial intelligence #Characterization (materials science) #Computer science #Noise (video) #Open quantum system #Optics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum algorithm #Quantum computer #Quantum dynamics #Quantum error correction #Quantum mechanics #Quantum operation #Quantum phase estimation algorithm #Quantum process #Quantum state #Quantum tomography #Qubit #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physreva.91.012324

published in Physical Review A 91(1) (American Physical Society) · 7 pages, 2 figures; close to the published version

openalex publication_date 2015/01/15 · arxiv created 2015/01/27 · arxiv updated 2015/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Characterizing noisy quantum processes is important to quantum computation and communication (QCC), since quantum systems are generally open. To date, all methods of characterization of quantum dynamics (CQD), typically implemented by quantum process tomography, are off-line, i.e., QCC and CQD are not concurrent, as they require distinct state preparations. Here we introduce a method, ``quantum error correction based characterization of dynamics,'' in which the initial state is any element from the code space of a quantum error correcting code that can protect the state from arbitrary errors acting on the subsytem subjected to unknown dynamics. The statistics of stabilizer measurements, with possible unitary preprocessing operations, are used to characterize the noise, while the observed syndrome can be used to correct the noisy state. Our method requires at most 2(4n\ensuremath-1) configurations to characterize arbitrary noise acting on n qubits.

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