Deterministic remote photonic state swapping via quantum walk

ZENG Miaona; YANG Ming

doi:10.3969/j.issn.1007-5461.2023.06.012

[1] Horodecki R, Horodecki P, Horodecki M et al. Quantum entanglement[J]. Reviews of Modern Physics, 81, 865-942(2009).

[2] Bennett C H, Brassard G, Popescu S et al. Purification of noisy entanglement and faithful teleportation via noisy channels[J]. Physical Review Letters, 76, 722-725(1996).

[3] Bergmann M, Van Loock P. Hybrid quantum repeater for qudits[J]. Physical Review A, 99, 032349(2019).

[4] Hu X M, Huang C X, Sheng Y B et al. Long-distance entanglement purification for quantum communication[J]. Physical Review Letters, 126, 010503(2021).

[5] Zhao B, Chen Z B, Chen Y A et al. Robust creation of entanglement between remote memory qubits[J]. Physical Review Letters, 98, 240502(2007).

[6] Deutsch D, Ekert A, Jozsa R et al. Quantum privacy amplification and the security of quantum cryptography over noisy channels[J]. Physical Review Letters, 77, 2818-2821(1996).

[7] Murao M, Plenio M B, Popescu S et al. Multiparticle entanglement purification protocols[J]. Physical Review A, 57, R4075-R4078(1998).

[8] Pan J W, Simon C, Brukner Č et al. Entanglement purification for quantum communication[J]. Nature, 410, 1067-1070(2001).

[9] Pan J W, Gasparoni S, Ursin R et al. Experimental entanglement purification of arbitrary unknown states[J]. Nature, 423, 417-422(2003).

[10] Simon C, Pan J W. Polarization entanglement purification using spatial entanglement[J]. Physical Review Letters, 89, 257901(2002).

[11] Gisin N. Hidden quantum nonlocality revealed by local filters[J]. Physics Letters A, 210, 151-156(1996).

[12] Huang Y S, Xing H B, Yang M et al. Distillation of multipartite entanglement by local filtering operations[J]. Physical Review A, 89, 062320(2014).

[13] Wang T J, Cao C, Wang C. Linear-optical implementation of hyperdistillation from photon loss[J]. Physical Review A, 89, 052303(2014).

[14] Chen D Y, Lin Z, Yang M et al. Distillation of lossy hyperentangled states[J]. Physical Review A, 102, 022425(2020).

[15] Sheng Y B, Deng F G. Deterministic entanglement purification and complete nonlocal Bell-state analysis with hyperentanglement[J]. Physical Review A, 81, 032307(2010).

[16] Li X H. Deterministic polarization-entanglement purification using spatial entanglement[J]. Physical Review A, 82, 044304(2010).

[17] Sheng Y B, Deng F G. One-step deterministic polarization-entanglement purification using spatial entanglement[J]. Physical Review A, 82, 044305(2010).

[18] Huang C X, Hu X M, Liu B H et al. Experimental one-step deterministic polarization entanglement purification[J]. Science Bulletin, 67, 593-597(2022).

[19] Ecker S, Sohr P, Bulla L et al. Remotely establishing polarization entanglement over noisy polarization channels[J]. Physical Review Applied, 17, 034009(2022).

[20] Pearson K. The problem of the random walk[J]. Nature, 72, 294(1905).

[21] Aharonov Y, Davidovich L, Zagury N. Quantum random walks[J]. Physical Review A, 48, 1687-1690(1993).

[22] Dadras S, Gresch A, Groiseau C et al. Quantum walk in momentum space with a Bose-Einstein condensate[J]. Physical Review Letters, 121, 070402(2018).

[23] Xie D Z, Deng T S, Xiao T et al. Topological quantum walks in momentum space with a Bose-Einstein condensate[J]. Physical Review Letters, 124, 050502(2020).

[24] Xue P, Sanders B C, Leibfried D. Quantum walk on a line for a trapped ion[J]. Physical Review Letters, 103, 183602(2009).

[25] Zähringer F, Kirchmair G, Gerritsma R et al. Realization of a quantum walk with one and two trapped ions[J]. Physical Review Letters, 104, 100503(2010).

[26] Ryan C A, Laforest M, Boileau J C et al. Experimental implementation of a discrete-time quantum random walk on an NMR quantum-information processor[J]. Physical Review A, 72, 062317(2005).

[27] Broome M A, Fedrizzi A, Lanyon B P et al. Discrete single-photon quantum walks with tunable decoherence[J]. Physical Review Letters, 104, 153602(2010).

[28] Qu D K, Marsh S, Wang K K et al. Deterministic search on star graphs via quantum walks[J]. Physical Review Letters, 128, 050501(2022).

[29] Bezerra G A, Lugão P H G, Portugal R. Quantum-walk-based search algorithms with multiple marked vertices[J]. Physical Review A, 103, 062202(2021).

[30] Xue P, Zhang R, Qin H et al. Experimental quantum-walk revival with a time-dependent coin[J]. Physical Review Letters, 114, 140502(2015).

[31] Wang K K, Qiu X Z, Xiao L et al. Simulating dynamic quantum phase transitions in photonic quantum walks[J]. Physical Review Letters, 122, 020501(2019).

[32] Wang K K, Li T Y, Xiao L et al. Detecting non-Bloch topological invariants in quantum dynamics[J]. Physical Review Letters, 127, 270602(2021).

[33] Yamagami T, Segawa E, Konno N. General condition of quantum teleportation by one-dimensional quantum walks[J]. Quantum Information Processing, 20, 224(2021).

[34] Li X M, Yang M, Paunković N et al. Entanglement swapping via three-step quantum walk-like protocol[J]. Physics Letters A, 381, 3875-3879(2017).

[35] Childs A M, Gosset D, Webb Z. Universal computation by multiparticle quantum walk[J]. Science, 339, 791-794(2013).

[36] Childs A M. Universal computation by quantum walk[J]. Physical Review Letters, 102, 180501(2009).

[37] Lovett N B, Cooper S, Everitt M et al. Universal quantum computation using the discrete-time quantum walk[J]. Physical Review A, 81, 042330(2010).

[38] Cañas G, Vera N, Cariñe J et al. High-dimensional decoy-state quantum key distribution over multicore telecommunication fibers[J]. Physical Review A, 96, 022317(2017).

[39] Ciampini M A, Orieux A, Paesani S et al. Path-polarization hyperentangled and cluster states of photons on a chip[J]. Light: Science & Applications, 5, e16064(2016).

[40] Walborn S P, Monken C H, Pádua S et al. Spatial correlations in parametric down-conversion[J]. Physics Reports, 495, 87-139(2010).

[41] Graham T M, Bernstein H J, Wei T C et al. Superdense teleportation using hyperentangled photons[J]. Nature Communications, 6, 7185(2015).

[42] Huang C X, Hu X M, Guo Y et al. Entanglement swapping and quantum correlations via symmetric joint measurements[J]. Physical Review Letters, 129, 030502(2022).

[43] Hu X M, Xing W B, Liu B H et al. Efficient distribution of high-dimensional entanglement through 11 km fiber[J]. Optica, 7, 738-743(2020).

[44] Kim Y S, Pramanik T, Cho Y W et al. Informationally symmetrical Bell state preparation and measurement[J]. Optics Express, 26, 29539(2018).

[45] Kim Y, Kim Y S, Lee S Y et al. Direct quantum process tomography via measuring sequential weak values of incompatible observables[J]. Nature Communications, 9, 192(2018).