Purification Complexity without Purifications
| Autor: | Shan-Ming Ruan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Quantum Physics Gaussian FOS: Physical sciences Quantum fisher information AdS-CFT Correspondence Space (mathematics) Gauge-gravity correspondence Algebra symbols.namesake AdS/CFT correspondence High Energy Physics - Theory (hep-th) Quantum state Bures metric Metric (mathematics) symbols lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Quantum Physics (quant-ph) Quantum |
| Zdroj: | Journal of High Energy Physics, Vol 2021, Iss 1, Pp 1-51 (2021) Journal of High Energy Physics |
| Popis: | We generalize the Fubini-Study method for pure-state complexity to generic quantum states by taking Bures metric or quantum Fisher information metric on the space of density matrices as the complexity measure. Due to Uhlmann's theorem, we show that the mixed-state complexity exactly equals the purification complexity measured by the Fubini-Study metric for purified states but without explicitly applying any purification. We also find the purification complexity is non-increasing under any trace-preserving quantum operations. We also study the mixed Gaussian states as an example to explicitly illustrate our conclusions for purification complexity. 38+12 pages, 6 figues |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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