Stabilizing quantum information
Open accessAbstract
The dynamical-algebraic structure underlying all the schemes for quantum information stabilization is argued to be fully contained in the reducibility of the operator algebra describing the interaction with the environment of the coding quantum system. This property amounts to the existence of a nontrivial group of symmetries for the global dynamics. We provide a unified framework that allows us to build systematically additional classes of error correcting codes and noiseless subsystems. It is shown that by using symmetrization strategies one can artificially produce noiseless subsystems supporting universal quantum computation.
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The vanishing of an energy scale for degenerate qubits holds, strictly speaking, only for fully adiabatic techniques, e.g., HQC.
“Indeed, the vanishing of an energy scale for degenerate qubits holds, strictly speaking, only for fully adiabatic techniques, e.g., HQC [53, 54].”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [54]
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Gheorghiu-Svirschevski, S. (2001) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.64.051907 · Cited by 17 · see citing works
Noiseless Subsystems for Collective Rotation Channels in Quantum Information Theory
Holbrook, J., Kribs, D. W., Laflamme, R., & Poulin, D. (2005) · Integral Equations and Operator Theory · doi:10.1007/s00020-004-1345-1 · Cited by 17 · see citing works
Kirilyuk, A. P. (2002) · arXiv (Cornell University) · Cited by 18 · see citing works
Quantum scrambling of observable algebras
Paolo Zanardi, A. (2022) · Quantum · doi:10.22331/q-2022-03-11-666 · Cited by 15 · see citing works
Highly Entangled Stationary States from Strong Symmetries
Li, Y., Pollmann, F., Read, N., & Sala, P. (2025) · Physical Review X · doi:10.1103/physrevx.15.011068 · Cited by 18 · see citing works
Universal continuous-variable quantum computation without cooling
Lau, H.-K., & Plenio, M. B. (2017) · Physical Review A · doi:10.1103/physreva.95.022303 · Cited by 14 · see citing works
Modular quantum-information processing by dissipation
Marshall, J., Venuti, L. C., & Paolo Zanardi, A. (2016) · Physical Review A · doi:10.1103/physreva.94.052339 · Cited by 14 · see citing works
Agents, Subsystems, and the Conservation of Information
Chiribella, G. (2018) · Entropy · doi:10.3390/e20050358 · Cited by 14 · see citing works
- Authors
- Zanardi, P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2000-12-05
- Volume
- 63
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2032617180
- Cited by
- 207
- References
- 28
- Citations by year
- 2026: 2 · 2025: 8 · 2024: 6 · 2023: 3 · 2022: 5 · 2021: 4 · 2020: 10 · 2019: 7 · 2018: 3 · 2017: 3 · 2016: 14 · 2015: 4 · 2014: 5 · 2013: 7 · 2012: 6
- FWCI
- 16.25
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- quantum error correction, environmental interaction, symmetry groups, noiseless subsystems, symmetrization, universal quantum computation
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