Nearly deterministic preparation of the perfect<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>W</mml:mi></mml:math>state with weak cross-Kerr nonlinearities

Dong, Li; Wang, Junxi; Li, Qingyang; Shen, H. Z.; Dong, Hai-Kuan; Xiu, Xiao‐Ming; Gao, Yajun; Oh, C. H.

doi:10.1103/physreva.93.012308

Cited by 66 publications

(29 citation statements)

References 96 publications

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“…In this construction scheme, the weak cross‐Kerr nonlinear interaction in the control‐path module is very essential, but the process of the judgment on zero phase shift and nonzero phase shift is the source of error. To obtain the information of zero phase shift and nonzero phase shift, there are three common measurement methods in the schemes of quantum information processing, X measurement, photon number resolution measurement based on displacement operations, and double weak cross‐Kerr nonlinearities . X measurement is a relatively mature measurement method, and it is frequently applied in the tasks of quantum information processing; so we analyze the success probability of this construction scheme taking X measurement as a representative.…”

Section: Discussion and Summarymentioning

confidence: 99%

Construction of a Polarization Multiphoton Controlled One‐Photon Unitary Gate Assisted by the Spatial and Temporal Degrees of Freedom

et al. 2019

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In order to fulfill quantum information processing tasks such as quantum computation and scalable quantum networks, quantum logic gates are indispensable parts. A multiqubit logic gate can efficiently reduce the cost of physical resources and complicated operations that are necessary in the combination of fewer-qubit (e.g., two-qubit) logic gates to fulfill the same tasks. However, the construction of multiphoton quantum logic gates is a large challenge. Assisted by spatial and temporal degrees of freedom, a polarization multiphoton controlled one-photon unitary gate is proposed, which can be realized with three processes including the control-path process based on weak cross-Kerr nonlinearities, the unitary transformation process, and the output process. In the control-path process, the control-path modules are applied, where the entanglement between polarization, spatial and temporal degrees of freedom is generated by beam splitters, time delayers, and nonlinear interaction in cross-Kerr media. The scheme presented here, assisted by spatial and temporal degrees of freedom reduces the experimental complexity of the schemes assisted by only spatial degree of freedom. Moreover, it will also be a useful reference in optimally constructing multiqubit quantum logic gates with other multiple degrees of freedom in many physical systems.variety of physical systems in the theoretical aspect [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and experimental aspect. [21][22][23][24][25][26] Photons are the promising carriers of quantum information due to their advantages, fast propagation, low decoherence, ease to manipulate, etc. [27] However, owing to weak photon-photon interaction, quantum logic gates at the single-photon level had made slow progress. [22] The linear optics standard model proposed by Knill et al. [28] had changed this unclear situation, while its upper limitation of success probability is less than unity. [29] Furthermore, by using nonlinear optical interaction such as cross-Kerr interaction, the threshold on the success probability imposed by the linear optics standard model could be broken through. [30] Due to tiny strength of nonlinear interaction, the direct applications of cross-Kerr nonlinearities have not been easily realized. To achieve feasibility of deterministic quantum logic gates, weak cross-Kerr nonlinearities were applied first in the two-photon controllednot gate using an auxiliary photon, [31] which approaches the success probability nearly close to unity. After that, many construction schemes of twophoton logic gates based on weak cross-Kerr nonlinearities were proposed, for instance, the controlled-not gate with half unity success probability without an auxiliary photon, [32] the controllednot gate, [33] and the controlled-phase gate [34] with nearly unity success probability without the auxiliary photon, quantum logic gates [35] composed by control-path gate and merging gate. On the other hand, weak cross-Kerr nonlinearities were also used in the Bell states analys...

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Section: Discussion and Summarymentioning

confidence: 99%

Construction of a Polarization Multiphoton Controlled One‐Photon Unitary Gate Assisted by the Spatial and Temporal Degrees of Freedom

et al. 2019

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“…One can exactly obtain the information of photons in the Fock state but not destroy them by detecting the probe mode with a general homodyne-heterodyne measurement. The cross-Kerr nonlinearity between photons offers an ideal playground for quantum state engineering, and a number of applications have been studied, such as constructing nondestructive quantum nondemoliton detectors (QND)2627, deterministic entanglement distillation28, logic-qubit entanglement2930, generation of multi-photon entangled states and decoherence-free states24313233343536.…”

Section: Generations Of Four-qubit Entangled Decoherence-free Statesmentioning

confidence: 99%

Generation of four-photon polarization entangled decoherence-free states with cross-Kerr nonlinearity

Yan

Gao

2016

Sci Rep

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We propose a theoretical protocol for preparing four-photon polarization entangled decoherence-free states, which are immune to the collective noise. With the assistance of the cross-Kerr nonlinearities, a two-photon spatial entanglement gate, two controlled-NOT gates, a four-photon polarization entanglement gate are inserted into the circuit, where X homodyne measurements are aptly applied. Combined with some swap gates and simple linear optical elements, four-photon polarization entangled decoherence-free states which can be utilized to represent two logical qubits, |0〉L and |1〉L are achieved at the output ports of the circuit. This generation scheme may be implemented with current experimental techniques.

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“…In the later sections of the article, we have demonstrated the extension of Vaidman's game and the proposed game for multi-qubit scenario. Since the states used as resources in this article can be experimentally prepared (Bouwmeester et al, 1999;Dong et al, 2016;Eibl et al, 2004), the results obtained here may find applications in Quantum Secret Sharing or other similar protocols.…”

Section: Introductionmentioning

confidence: 99%

Analyzing the efficiency of partially entangled states in Vaidman’s-type games and its applications in Quantum Secret Sharing

Kaur

Kumar

2018

International Journal of Computers and Applications

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We analyse the role of degree of entanglement for Vaidman's game in a setting where the players share a set of partially entangled three-qubit states. Our results show that the entangled states combined with quantum strategies may not be always helpful in winning a game as opposed to the classical strategies. We further find the conditions under which quantum strategies are always helpful in achieving higher winning probability in the game in comparison to classical strategies. Moreover, we show that a special class of W states can always be used to win the game using quantum strategies irrespective of the degree of entanglement between the three qubits. Our analysis also helps us in comparing the Vaidman's game with the secret sharing protocol. Furthermore, we propose a new Vaidman-type game where the rule maker itself is entangled with the other two players and acts as a facilitator to share a secret key with the two players. For practical purposes, the analysis is extended to study the proposed game under noisy conditions. In addition, the results obtained here are also generalized for multi-qubit games.

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Nearly deterministic preparation of the perfectWstate with weak cross-Kerr nonlinearities

Cited by 66 publications

References 96 publications

Construction of a Polarization Multiphoton Controlled One‐Photon Unitary Gate Assisted by the Spatial and Temporal Degrees of Freedom

Construction of a Polarization Multiphoton Controlled One‐Photon Unitary Gate Assisted by the Spatial and Temporal Degrees of Freedom

Generation of four-photon polarization entangled decoherence-free states with cross-Kerr nonlinearity

Analyzing the efficiency of partially entangled states in Vaidman’s-type games and its applications in Quantum Secret Sharing

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