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Marletto C, Vedral V, Virzì S, Avella A, Piacentini F, Gramegna M, Degiovanni IP, Genovese M. Temporal teleportation with pseudo-density operators: How dynamics emerges from temporal entanglement. SCIENCE ADVANCES 2021; 7:eabe4742. [PMID: 34524847 PMCID: PMC8443168 DOI: 10.1126/sciadv.abe4742] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/25/2020] [Accepted: 07/23/2021] [Indexed: 06/13/2023]
Abstract
We show that, by using temporal quantum correlations as expressed by pseudo-density operators (PDOs), it is possible to recover formally the standard quantum dynamical evolution as a sequence of teleportations in time. We demonstrate that any completely positive evolution can be formally reconstructed by teleportation with different temporally correlated states. This provides a different interpretation of maximally correlated PDOs, as resources to induce quantum time evolution. Furthermore, we note that the possibility of this protocol stems from the strict formal correspondence between spatial and temporal entanglement in quantum theory. We proceed to demonstrate experimentally this correspondence, by showing a multipartite violation of generalized temporal and spatial Bell inequalities and verifying agreement with theoretical predictions to a high degree of accuracy, in high-quality photon qubits.
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Affiliation(s)
- Chiara Marletto
- Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, UK
- Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543
- ISI Foundation, Via Chisola 5, I-10126 Torino, Italy
| | - Vlatko Vedral
- Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, UK
- Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543
- ISI Foundation, Via Chisola 5, I-10126 Torino, Italy
- Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542
| | | | | | | | | | - Ivo Pietro Degiovanni
- INRIM, Strada Delle Cacce 91, I-10135 Torino, Italy
- INFN, via P. Giuria 1, I-10125 Torino, Italy
| | - Marco Genovese
- INRIM, Strada Delle Cacce 91, I-10135 Torino, Italy
- INFN, via P. Giuria 1, I-10125 Torino, Italy
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Mitra A, Chattopadhyay P, Paul G, Zarikas V. Binary Black Hole Information Loss Paradox and Future Prospects. ENTROPY (BASEL, SWITZERLAND) 2020; 22:E1387. [PMID: 33302364 PMCID: PMC7762553 DOI: 10.3390/e22121387] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/20/2020] [Revised: 11/08/2020] [Accepted: 11/16/2020] [Indexed: 11/17/2022]
Abstract
Various techniques to tackle the black hole information paradox have been proposed. A new way out to tackle the paradox is via the use of a pseudo-density operator. This approach has successfully dealt with the problem with a two-qubit entangle system for a single black hole. In this paper, we present the interaction with a binary black hole system by using an arrangement of the three-qubit system of Greenberger-Horne-Zeilinger (GHZ) state. We show that our results are in excellent agreement with the theoretical value. We have also studied the interaction between the two black holes by considering the correlation between the qubits in the binary black hole system. The results depict a complete agreement with the proposed model. In addition to the verification, we also propose how modern detection of gravitational waves can be used on our optical setup as an input source, thus bridging the gap with the gravitational wave's observational resources in terms of studying black hole properties with respect to quantum information and entanglement.
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Affiliation(s)
- Ayan Mitra
- Department of Mechanical and Aerospace Engineering, Nazarbayev University, Nur-Sultan 010000, Kazakhstan;
| | - Pritam Chattopadhyay
- Cryptology and Security Research Unit, R.C. Bose Center for Cryptology and Security, Indian Statistical Institute, Kolkata 700108, India; (P.C.); (G.P.)
| | - Goutam Paul
- Cryptology and Security Research Unit, R.C. Bose Center for Cryptology and Security, Indian Statistical Institute, Kolkata 700108, India; (P.C.); (G.P.)
| | - Vasilios Zarikas
- Department of Mechanical and Aerospace Engineering, Nazarbayev University, Nur-Sultan 010000, Kazakhstan;
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