Measurement-Induced Transition in Long-Range Interacting Quantum Circuits
The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this transition is fundamentally altered by the presence of long-range, power-law interactions. For suffic...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society (APS)
2022
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| Online Access: | https://hdl.handle.net/1721.1/141459 |
| _version_ | 1826199549124804608 |
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| author | Block, Maxwell Bao, Yimu Choi, Soonwon Altman, Ehud Yao, Norman Y |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Block, Maxwell Bao, Yimu Choi, Soonwon Altman, Ehud Yao, Norman Y |
| author_sort | Block, Maxwell |
| collection | MIT |
| description | The competition between scrambling unitary evolution and projective
measurements leads to a phase transition in the dynamics of quantum
entanglement. Here, we demonstrate that the nature of this transition is
fundamentally altered by the presence of long-range, power-law interactions.
For sufficiently weak power-laws, the measurement-induced transition is
described by conformal field theory, analogous to short-range-interacting
hybrid circuits. However, beyond a critical power-law, we demonstrate that
long-range interactions give rise to a continuum of non-conformal universality
classes, with continuously varying critical exponents. We numerically determine
the phase diagram for a one-dimensional, long-range-interacting hybrid circuit
model as a function of the power-law exponent and the measurement rate.
Finally, by using an analytic mapping to a long-range quantum Ising model, we
provide a theoretical understanding for the critical power-law. |
| first_indexed | 2024-09-23T11:22:04Z |
| format | Article |
| id | mit-1721.1/141459 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:22:04Z |
| publishDate | 2022 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1414592023-01-23T20:49:49Z Measurement-Induced Transition in Long-Range Interacting Quantum Circuits Block, Maxwell Bao, Yimu Choi, Soonwon Altman, Ehud Yao, Norman Y Massachusetts Institute of Technology. Center for Theoretical Physics The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this transition is fundamentally altered by the presence of long-range, power-law interactions. For sufficiently weak power-laws, the measurement-induced transition is described by conformal field theory, analogous to short-range-interacting hybrid circuits. However, beyond a critical power-law, we demonstrate that long-range interactions give rise to a continuum of non-conformal universality classes, with continuously varying critical exponents. We numerically determine the phase diagram for a one-dimensional, long-range-interacting hybrid circuit model as a function of the power-law exponent and the measurement rate. Finally, by using an analytic mapping to a long-range quantum Ising model, we provide a theoretical understanding for the critical power-law. 2022-04-01T15:31:13Z 2022-04-01T15:31:13Z 2022-01-07 2022-04-01T15:21:21Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/141459 Block, Maxwell, Bao, Yimu, Choi, Soonwon, Altman, Ehud and Yao, Norman Y. 2022. "Measurement-Induced Transition in Long-Range Interacting Quantum Circuits." Physical Review Letters, 128 (1). en 10.1103/physrevlett.128.010604 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS |
| spellingShingle | Block, Maxwell Bao, Yimu Choi, Soonwon Altman, Ehud Yao, Norman Y Measurement-Induced Transition in Long-Range Interacting Quantum Circuits |
| title | Measurement-Induced Transition in Long-Range Interacting Quantum Circuits |
| title_full | Measurement-Induced Transition in Long-Range Interacting Quantum Circuits |
| title_fullStr | Measurement-Induced Transition in Long-Range Interacting Quantum Circuits |
| title_full_unstemmed | Measurement-Induced Transition in Long-Range Interacting Quantum Circuits |
| title_short | Measurement-Induced Transition in Long-Range Interacting Quantum Circuits |
| title_sort | measurement induced transition in long range interacting quantum circuits |
| url | https://hdl.handle.net/1721.1/141459 |
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