Observable Measure of Quantum Coherence in Finite Dimensional Systems
Open accessAbstract
Quantum coherence is the key resource for quantum technology, with applications in quantum optics, information processing, metrology, and cryptography. Yet, there is no universally efficient method for quantifying coherence either in theoretical or in experimental practice. I introduce a framework for measuring quantum coherence in finite dimensional systems. I define a theoretical measure which satisfies the reliability criteria established in the context of quantum resource theories. Then, I present an experimental scheme implementable with current technology which evaluates the quantum coherence of an unknown state of a d-dimensional system by performing two programmable measurements on an ancillary qubit, in place of the O(d2) direct measurements required by full state reconstruction. The result yields a benchmark for monitoring quantum effects in complex systems, e.g., certifying nonclassicality in quantum protocols and probing the quantum behavior of biological complexes.
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- Authors
- Girolami, D.
- Affiliations
- National University of Singapore (SG)
- Corresponding author
- Girolami, Davide
- ORCID
- Girolami, Davide
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2014-10-20
- Volume
- 113
- Issue
- 17
- Pages
- 170401-170401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1964667568
- Semantic Scholar
- ceeba1919792e06d99c5abe9f84c56bb6e20295f
- Cited by
- 537
- References
- 60
- Citations by year
- 2026: 26 · 2025: 37 · 2024: 51 · 2023: 34 · 2022: 35 · 2021: 40 · 2020: 52 · 2019: 51 · 2018: 49 · 2017: 69 · 2016: 60 · 2015: 31 · 2014: 1
- FWCI
- 53.49
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- PORTO@Iris (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- National Research Foundation-Prime Minister’s office, Republic of Singapore (NRF-NRFF2011-07)
- Engineering and Physical Sciences Research Council (EP/L01405X/1)
- Topics
- 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
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum coherence, coherence quantification, finite-dimensional quantum systems, quantum resource theory, coherence measures, state reconstruction, quantum biology
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