Theoretical description and experimental simulation of quantum entanglement near open time-like curves via pseudo-density operators
Closed timelike curves are striking predictions of general relativity allowing for time-travel. They are afflicted by notorious causality issues (e.g. grandfather's paradox). Quantum models where a qubit travels back in time solve these problems, at the cost of violating quantum theory's l...
| Main Authors: | , , , , , , , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Springer Nature
2019
|
| _version_ | 1826288270960492544 |
|---|---|
| author | Marletto, C Vedral, V Virzì, S Rebufello, E Avella, A Piacentini, F Gramegna, M Degiovanni, I Genovese, M |
| author_facet | Marletto, C Vedral, V Virzì, S Rebufello, E Avella, A Piacentini, F Gramegna, M Degiovanni, I Genovese, M |
| author_sort | Marletto, C |
| collection | OXFORD |
| description | Closed timelike curves are striking predictions of general relativity allowing for time-travel. They are afflicted by notorious causality issues (e.g. grandfather's paradox). Quantum models where a qubit travels back in time solve these problems, at the cost of violating quantum theory's linearity-leading e.g. to universal quantum cloning. Interestingly, linearity is violated even by open timelike curves (OTCs), where the qubit does not interact with its past copy, but is initially entangled with another qubit. Non-linear dynamics is needed to avoid violating entanglement monogamy. Here we propose an alternative approach to OTCs, allowing for monogamy violations. Specifically, we describe the qubit in the OTC via a pseudo-density operator-a unified descriptor of both temporal and spatial correlations. We also simulate the monogamy violation with polarization-entangled photons, providing a pseudo-density operator quantum tomography. Remarkably, our proposal applies to any space-time correlations violating entanglement monogamy, such as those arising in black holes. |
| first_indexed | 2024-03-07T02:11:11Z |
| format | Journal article |
| id | oxford-uuid:a0b33ab6-042c-41de-adc5-84d52a8b3a60 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:11:11Z |
| publishDate | 2019 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:a0b33ab6-042c-41de-adc5-84d52a8b3a602022-03-27T02:07:21ZTheoretical description and experimental simulation of quantum entanglement near open time-like curves via pseudo-density operatorsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a0b33ab6-042c-41de-adc5-84d52a8b3a60EnglishSymplectic Elements at OxfordSpringer Nature2019Marletto, CVedral, VVirzì, SRebufello, EAvella, APiacentini, FGramegna, MDegiovanni, IGenovese, MClosed timelike curves are striking predictions of general relativity allowing for time-travel. They are afflicted by notorious causality issues (e.g. grandfather's paradox). Quantum models where a qubit travels back in time solve these problems, at the cost of violating quantum theory's linearity-leading e.g. to universal quantum cloning. Interestingly, linearity is violated even by open timelike curves (OTCs), where the qubit does not interact with its past copy, but is initially entangled with another qubit. Non-linear dynamics is needed to avoid violating entanglement monogamy. Here we propose an alternative approach to OTCs, allowing for monogamy violations. Specifically, we describe the qubit in the OTC via a pseudo-density operator-a unified descriptor of both temporal and spatial correlations. We also simulate the monogamy violation with polarization-entangled photons, providing a pseudo-density operator quantum tomography. Remarkably, our proposal applies to any space-time correlations violating entanglement monogamy, such as those arising in black holes. |
| spellingShingle | Marletto, C Vedral, V Virzì, S Rebufello, E Avella, A Piacentini, F Gramegna, M Degiovanni, I Genovese, M Theoretical description and experimental simulation of quantum entanglement near open time-like curves via pseudo-density operators |
| title | Theoretical description and experimental simulation of quantum entanglement near open time-like curves via pseudo-density operators |
| title_full | Theoretical description and experimental simulation of quantum entanglement near open time-like curves via pseudo-density operators |
| title_fullStr | Theoretical description and experimental simulation of quantum entanglement near open time-like curves via pseudo-density operators |
| title_full_unstemmed | Theoretical description and experimental simulation of quantum entanglement near open time-like curves via pseudo-density operators |
| title_short | Theoretical description and experimental simulation of quantum entanglement near open time-like curves via pseudo-density operators |
| title_sort | theoretical description and experimental simulation of quantum entanglement near open time like curves via pseudo density operators |
| work_keys_str_mv | AT marlettoc theoreticaldescriptionandexperimentalsimulationofquantumentanglementnearopentimelikecurvesviapseudodensityoperators AT vedralv theoreticaldescriptionandexperimentalsimulationofquantumentanglementnearopentimelikecurvesviapseudodensityoperators AT virzis theoreticaldescriptionandexperimentalsimulationofquantumentanglementnearopentimelikecurvesviapseudodensityoperators AT rebufelloe theoreticaldescriptionandexperimentalsimulationofquantumentanglementnearopentimelikecurvesviapseudodensityoperators AT avellaa theoreticaldescriptionandexperimentalsimulationofquantumentanglementnearopentimelikecurvesviapseudodensityoperators AT piacentinif theoreticaldescriptionandexperimentalsimulationofquantumentanglementnearopentimelikecurvesviapseudodensityoperators AT gramegnam theoreticaldescriptionandexperimentalsimulationofquantumentanglementnearopentimelikecurvesviapseudodensityoperators AT degiovannii theoreticaldescriptionandexperimentalsimulationofquantumentanglementnearopentimelikecurvesviapseudodensityoperators AT genovesem theoreticaldescriptionandexperimentalsimulationofquantumentanglementnearopentimelikecurvesviapseudodensityoperators |