The DOI matches its Crossref record; 69 of the 69 references it cites were found in a registry or an index.
Chaos in quantum channels
Open accessAbstract
We study chaos and scrambling in unitary channels by considering their entanglement properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process quantum information. We show that the generic decay of such correlators implies that any input subsystem must have near vanishing mutual information with almost all partitions of the output. Additionally, we propose the negativity of the tripartite information of the channel as a general diagnostic of scrambling. This measures the delocalization of information and is closely related to the decay of out-of-time-order correlators. We back up our results with numerics in two non-integrable models and analytic results in a perfect tensor network model of chaotic time evolution. These results show that the butterfly effect in quantum systems implies the information-theoretic definition of scrambling.
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Cites
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
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Topological Entanglement Entropy
Kitaev, A., & Preskill, J. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.110404 · Cited by 2,430
Maldacena, J., Shenker, S. H., & Stanford, D. (2016) · Journal of High Energy Physics · doi:10.1007/jhep08(2016)106 · Cited by 2,313
Detecting Topological Order in a Ground State Wave Function
Levin, M., & Wen, X.-G. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.110405 · Cited by 2,068
Gapless spin-fluid ground state in a random quantum Heisenberg magnet
Sachdev, S., & Ye, J. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.3339 · Cited by 1,910
Entanglement entropy and conformal field theory
Calabrese, P., & Cardy, J. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/50/504005 · Cited by 1,688
Average entropy of a subsystem
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Cited by
Remarks on the Sachdev-Ye-Kitaev model
Maldacena, J., & Stanford, D. (2016) · Physical Review D · doi:10.1103/physrevd.94.106002 · Cited by 1,852
Characterizing quantum supremacy in near-term devices
Boixo, S., Isakov, S. V., Smelyanskiy, V. N., Babbush, R., Ding, N., Jiang, Z., Bremner, M. J., Martinis, J. M., & Neven, H. (2018) · Nature Physics · doi:10.1038/s41567-018-0124-x · Cited by 1,175
The spectrum in the Sachdev-Ye-Kitaev model
Polchinski, J., & Rosenhaus, V. (2016) · Journal of High Energy Physics · doi:10.1007/jhep04(2016)001 · Cited by 699
Complexity, action, and black holes
Brown, A. R., Roberts, D. A., Susskind, L., Swingle, B., & Zhao, Y. (2016) · Physical Review D · doi:10.1103/physrevd.93.086006 · Cited by 640
Self-citationMeasurement-driven entanglement transition in hybrid quantum circuits
Li, Y., Chen, X., & Fisher, M. P. A. (2019) · Physical Review B · doi:10.1103/physrevb.100.134306 · Cited by 593
Metadata
- Authors
- Hosur, P., Qi, X.-L., Roberts, D. A., & Yoshida, B.
- Venue
- Journal of High Energy Physics
- Published
- 2016-02
- Volume
- 2016
- Issue
- 2
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2247548592
- Cited by
- 717
- References
- 69
- FWCI
- 36.83
- Type
- journal article
- Language
- en
- Open access
- diamond
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
