Quantum Processes Which Do Not Use Coherence
A major signature of quantum mechanics beyond classical physics is coherence, the existence of superposition states. The recently developed resource theory of quantum coherence allows the formalization of incoherent operations—those operations which cannot create coherence. We identify the set of op...
| Main Authors: | , , , , |
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| Format: | Journal article |
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American Physical Society
2016
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| _version_ | 1797056695823761408 |
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| author | Yadin, B Ma, J Girolami, D Gu, M Vedral, V |
| author_facet | Yadin, B Ma, J Girolami, D Gu, M Vedral, V |
| author_sort | Yadin, B |
| collection | OXFORD |
| description | A major signature of quantum mechanics beyond classical physics is coherence, the existence of superposition states. The recently developed resource theory of quantum coherence allows the formalization of incoherent operations—those operations which cannot create coherence. We identify the set of operations which additionally do not use coherence. These are such that coherence cannot be exploited by a classical observer, who measures incoherent properties of the system, to go beyond classical dynamics. We give a physical interpretation in terms of interferometry and prove a dilation theorem, showing how these operations can always be constructed by the system interacting, in an incoherent way, with an ancilla. Such a physical justification is not known for the incoherent operations; thus, our results lead to a physically well-motivated resource theory of coherence. Next, we investigate the implications for coherence in multipartite systems. We show that quantum correlations can be defined naturally with respect to a fixed basis, providing a link between coherence and quantum discord. We demonstrate the interplay between these two quantities in the operations that we study and suggest implications for the theory of quantum discord by relating these operations to those which cannot create discord. |
| first_indexed | 2024-03-06T19:26:15Z |
| format | Journal article |
| id | oxford-uuid:1bce71d4-44ed-4733-9d5e-1ff57d71dba8 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:26:15Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:1bce71d4-44ed-4733-9d5e-1ff57d71dba82022-03-26T11:02:27ZQuantum Processes Which Do Not Use CoherenceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1bce71d4-44ed-4733-9d5e-1ff57d71dba8Symplectic Elements at OxfordAmerican Physical Society2016Yadin, BMa, JGirolami, DGu, MVedral, VA major signature of quantum mechanics beyond classical physics is coherence, the existence of superposition states. The recently developed resource theory of quantum coherence allows the formalization of incoherent operations—those operations which cannot create coherence. We identify the set of operations which additionally do not use coherence. These are such that coherence cannot be exploited by a classical observer, who measures incoherent properties of the system, to go beyond classical dynamics. We give a physical interpretation in terms of interferometry and prove a dilation theorem, showing how these operations can always be constructed by the system interacting, in an incoherent way, with an ancilla. Such a physical justification is not known for the incoherent operations; thus, our results lead to a physically well-motivated resource theory of coherence. Next, we investigate the implications for coherence in multipartite systems. We show that quantum correlations can be defined naturally with respect to a fixed basis, providing a link between coherence and quantum discord. We demonstrate the interplay between these two quantities in the operations that we study and suggest implications for the theory of quantum discord by relating these operations to those which cannot create discord. |
| spellingShingle | Yadin, B Ma, J Girolami, D Gu, M Vedral, V Quantum Processes Which Do Not Use Coherence |
| title | Quantum Processes Which Do Not Use Coherence |
| title_full | Quantum Processes Which Do Not Use Coherence |
| title_fullStr | Quantum Processes Which Do Not Use Coherence |
| title_full_unstemmed | Quantum Processes Which Do Not Use Coherence |
| title_short | Quantum Processes Which Do Not Use Coherence |
| title_sort | quantum processes which do not use coherence |
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