The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
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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“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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Citations
Cites
Decoherence-Free Subspaces for Quantum Computation
Lidar, D. A., Chuang, I. L., & Whaley, K. B. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.2594 · Cited by 1,818
Dynamical Decoupling of Open Quantum Systems
Viola, L., Knill, E., & Lloyd, S. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.2417 · Cited by 1,808
Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse?
Zurek, W. H. (1981) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.24.1516 · Cited by 1,688
Dynamical suppression of decoherence in two-state quantum systems
Viola, L., & Lloyd, S. (1998) · Physical Review A · doi:10.1103/physreva.58.2733 · Cited by 1,617
Theory of quantum error-correcting codes
Knill, E., & Laflamme, R. (1997) · Physical Review A · doi:10.1103/physreva.55.900 · Cited by 1,593
Environment-induced superselection rules
Zurek, W. H. (1982) · Physical Review D · doi:10.1103/physrevd.26.1862 · Cited by 1,415
Steane, A. (1998) · Reports on Progress in Physics · doi:10.1088/0034-4885/61/2/002 · Cited by 1,391
Zanardi, P., & Rasetti, M. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.3306 · Cited by 1,315
Class of quantum error-correcting codes saturating the quantum Hamming bound
Gottesman, D. (1996) · Physical Review A · doi:10.1103/physreva.54.1862 · Cited by 1,227
Quantum Computation Over Continuous Variables
Lloyd, S., & Braunstein, S. L. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1784 · Cited by 1,145
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Research works printed but not linked: 1
- J.F. Cornwell, 1984, Group Theory in Physics
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Items 201–207 of 207
Stationary state entanglement and total correlation of two qubits or qutrits
Li, S. B., & Xu, J. B. (2005) · CERN Document Server (European Organization for Nuclear Research)
Xiong, F.-L., & Zhang, W.-M. (2021) · Physical Review A · doi:10.1103/physreva.104.062206 · Cited by 1
Geometric bounds for approximate quantum error correction and a few words about holography
Fiusa, G. C. (2022) · Digital Library of Theses and Dissertations (Universidade de São Paulo) · doi:10.11606/d.76.2022.tde-14102022-090414
Quantum Gates with Different Robust Merits
Sun, C., Wang, Y., Wang, G., & Wu, C. (2024) · Advanced Quantum Technologies · doi:10.1002/qute.202400301
Decoherence-protected holonomic gates with reduced requirements for physical resources
Wu, C., Sun, C., Ma, J., Huang, D., Feng, X., & Kwek, L. C. (2025) · Physical Review Applied · doi:10.1103/physrevapplied.23.044016
Classification of Qubit Cellular Automata on Hypercubic Lattices
Pizzamiglio, A., Bisio, A., & Perinotti, P. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.240601
Classical Non-Markovian Noise in Symmetry-Preserving Quantum Dynamics
Watkins, W. M., & Quiroz, G. (2025) · Physical Review Letters · doi:10.1103/t78h-c9s3 · Cited by 1
Metadata
- 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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › 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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