Ancilla-Free Quantum Error Correction Codes for Quantum Metrology
Quantum error correction has recently emerged as a tool to enhance quantum sensing under Markovian noise. It works by correcting errors in a sensor while letting a signal imprint on the logical state. This approach typically requires a specialized error-correcting code, as most existing codes correc...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2019
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| Online Access: | http://hdl.handle.net/1721.1/120156 https://orcid.org/0000-0003-3207-594X |
| _version_ | 1826200541823238144 |
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| author | Zhou, Sisi Jiang, Liang Layden, David Cappellaro, Paola |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Zhou, Sisi Jiang, Liang Layden, David Cappellaro, Paola |
| author_sort | Zhou, Sisi |
| collection | MIT |
| description | Quantum error correction has recently emerged as a tool to enhance quantum sensing under Markovian noise. It works by correcting errors in a sensor while letting a signal imprint on the logical state. This approach typically requires a specialized error-correcting code, as most existing codes correct away both the dominant errors and the signal. To date, however, few such specialized codes are known, among which most require noiseless, controllable ancillas. We show here that such ancillas are not needed when the signal Hamiltonian and the error operators commute, a common limiting type of decoherence in quantum sensors. We give a semidefinite program for finding optimal ancilla-free sensing codes in general, as well as closed-form codes for two common sensing scenarios: qubits undergoing dephasing, and a lossy bosonic mode. Finally, we analyze the sensitivity enhancement offered by the qubit code under arbitrary spatial noise correlations, beyond the ideal limit of orthogonal signal and noise operators. |
| first_indexed | 2024-09-23T11:38:00Z |
| format | Article |
| id | mit-1721.1/120156 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:38:00Z |
| publishDate | 2019 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1201562022-09-27T20:54:57Z Ancilla-Free Quantum Error Correction Codes for Quantum Metrology Zhou, Sisi Jiang, Liang Layden, David Cappellaro, Paola Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Massachusetts Institute of Technology. Research Laboratory of Electronics Layden, David Cappellaro, Paola Quantum error correction has recently emerged as a tool to enhance quantum sensing under Markovian noise. It works by correcting errors in a sensor while letting a signal imprint on the logical state. This approach typically requires a specialized error-correcting code, as most existing codes correct away both the dominant errors and the signal. To date, however, few such specialized codes are known, among which most require noiseless, controllable ancillas. We show here that such ancillas are not needed when the signal Hamiltonian and the error operators commute, a common limiting type of decoherence in quantum sensors. We give a semidefinite program for finding optimal ancilla-free sensing codes in general, as well as closed-form codes for two common sensing scenarios: qubits undergoing dephasing, and a lossy bosonic mode. Finally, we analyze the sensitivity enhancement offered by the qubit code under arbitrary spatial noise correlations, beyond the ideal limit of orthogonal signal and noise operators. United States. Army Research Office (Grant W911NF-15-2-0067) United States. Army Research Office (Grant W911NF-18-2-0237) United States. Army Research Office (Grant W911NF-18-1-0020) United States. Army Research Office (Grant W911NF-18-1-0212) United States. Army Research Office (Grant W911NF-16- 1-0349) United States. Army Research Office (Grant W911NF-15-1-0548) United States. Air Force Office of Scientific Research (Grant FA9550-14-1-0052) United States. Air Force Office of Scientific Research (Grant FA9550-15-1-0015) United States. Department of Energy (Award DE-SC0019406) National Science Foundation (U.S.) (Grant EFMA-1640959) National Science Foundation (U.S.) (Grant EFRI-ACQUIRE 1641064) National Science Foundation (U.S.) (Grant EECS1702716) David & Lucile Packard Foundation (Grant 2013-39273) 2019-01-31T15:36:00Z 2019-01-31T15:36:00Z 2019-01 2018-11 2019-01-30T18:00:46Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/120156 Layden, David et al. "Ancilla-Free Quantum Error Correction Codes for Quantum Metrology." Physical Review Letters 122, 4 (February 2019): 040502 © 2019 American Physical Society https://orcid.org/0000-0003-3207-594X en http://dx.doi.org/10.1103/PhysRevLett.122.040502 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Zhou, Sisi Jiang, Liang Layden, David Cappellaro, Paola Ancilla-Free Quantum Error Correction Codes for Quantum Metrology |
| title | Ancilla-Free Quantum Error Correction Codes for Quantum Metrology |
| title_full | Ancilla-Free Quantum Error Correction Codes for Quantum Metrology |
| title_fullStr | Ancilla-Free Quantum Error Correction Codes for Quantum Metrology |
| title_full_unstemmed | Ancilla-Free Quantum Error Correction Codes for Quantum Metrology |
| title_short | Ancilla-Free Quantum Error Correction Codes for Quantum Metrology |
| title_sort | ancilla free quantum error correction codes for quantum metrology |
| url | http://hdl.handle.net/1721.1/120156 https://orcid.org/0000-0003-3207-594X |
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