Probabilistic remote preparation of a high-dimensional equatorial multiqubit with four-party and classical communication cost

We propose two protocols for remotely preparing a two-qubit entangled state, where the quantum channels take the form of one-dimensional four-qubit cluster and cluster-class states, respectively. The total success probability and classical communication cost are also calculated.

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Classical Communication Cost and Remote Preparation of the Two-Atom Maximally Entangled State

International Journal of Theoretical Physics ◽

10.1007/s10773-008-9758-2 ◽

2008 ◽

Vol 47 (12) ◽

pp. 3226-3233 ◽

Cited By ~ 7

Author(s):

Yan Xia ◽

Jie Song ◽

He-Shan Song

Keyword(s):

Communication Cost ◽

Entangled State ◽

Classical Communication ◽

Maximally Entangled State ◽

Classical Communication Cost ◽

Remote Preparation

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Classical communication cost and remote preparation of the four-particle GHZ class state

Physics Letters A ◽

10.1016/j.physleta.2006.02.050 ◽

2006 ◽

Vol 355 (4-5) ◽

pp. 285-288 ◽

Cited By ~ 127

Author(s):

Hong-Yi Dai ◽

Ping-Xing Chen ◽

Lin-Mei Liang ◽

Cheng-Zu Li

Keyword(s):

Communication Cost ◽

Classical Communication ◽

Classical Communication Cost ◽

Remote Preparation

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ENTANGLEMENT CONCENTRATION AND DILUTION REVISITED

International Journal of Quantum Information ◽

10.1142/s0219749909005894 ◽

2009 ◽

Vol 07 (08) ◽

pp. 1491-1505

Author(s):

HACHIRO FUJITA

Keyword(s):

Upper Bound ◽

Communication Cost ◽

Entanglement Concentration ◽

Classical Communication ◽

Classical Communication Cost

In this paper, we revisit the entanglement concentration protocol of Bennett et al. and the entanglement dilution protocol of Lo and Popescu via the method of types and provide a simple upper bound on the coefficient of the [Formula: see text] bound on the classical communication cost of the Lo-Popescu protocol.

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Classical-communication cost in distributed quantum-information processing: A generalization of quantum-communication complexity

Physical Review A ◽

10.1103/physreva.62.012313 ◽

2000 ◽

Vol 62 (1) ◽

Cited By ~ 419

Author(s):

Hoi-Kwong Lo

Keyword(s):

Information Processing ◽

Quantum Information ◽

Communication Complexity ◽

Quantum Communication ◽

Quantum Information Processing ◽

Communication Cost ◽

Classical Communication ◽

Classical Communication Cost ◽

Quantum Communication Complexity

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A Tight Lower Bound on the Classical Communication Cost of Entanglement Dilution

IEEE Transactions on Information Theory ◽

10.1109/tit.2003.822597 ◽

2004 ◽

Vol 50 (2) ◽

pp. 319-327 ◽

Cited By ~ 24

Author(s):

A.W. Harrow ◽

H.-K. Lo

Keyword(s):

Lower Bound ◽

Communication Cost ◽

Classical Communication ◽

Classical Communication Cost

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QUANTUM INFORMATION SPLITTING OF TWO-QUBIT STATE WITH MINIMAL CLASSICAL COMMUNICATION AND MEASUREMENT COMPLEXITY

International Journal of Quantum Information ◽

10.1142/s0219749908004286 ◽

2008 ◽

Vol 06 (05) ◽

pp. 1101-1113 ◽

Cited By ~ 3

Author(s):

GUI-XIA PAN ◽

YI-MIN LIU ◽

XUE-QIN ZUO ◽

WEN ZHANG ◽

ZHAN-JUN ZHANG

Keyword(s):

Quantum Information ◽

Success Probability ◽

Communication Cost ◽

Qubit State ◽

Quantum Information Splitting ◽

Quantum Channels ◽

Classical Communication ◽

Classical Communication Cost ◽

Special Cases ◽

Information Splitting

We present a quantum information splitting scheme of a two-qubit state by using two Greenberger–Horne–Zeilinger (GHZ) states as quantum channels. In this scheme, since the sender Alice knows the quantum information in priori, she only needs to perform a two-qubit measurement and publish two classical bits for her two agents Bob and Charlie to reconstruct the quantum information via their mutual assistance. We calculate the success probability and classical communication cost within the scheme. In the general case, Alice can successfully split the state with probability 25% (probabilistic) and the classical communication cost is 4 classical bits. However, in some special cases, the secret states are chosen from a special ensemble, the success probability of our scheme can be increased to 50% or even to 100% (deterministic) after consuming some extra classical bits.

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JOINT REMOTE PREPARATION OF A MULTI-QUBIT GHZ-CLASS STATE VIA BIPARTITE ENTANGLEMENTS

International Journal of Quantum Information ◽

10.1142/s021974991100768x ◽

2011 ◽

Vol 09 (02) ◽

pp. 809-822 ◽

Cited By ~ 12

Author(s):

ZHANG-YIN WANG

Keyword(s):

Success Probability ◽

Qubit State ◽

Quantum Operation ◽

Classical Communication ◽

Joint Actions ◽

Theor Phys ◽

Classical Communication Cost ◽

Remote Preparation ◽

State Case ◽

Projective Measurements

By joint actions of two separate two-qubit projective measurements, I present a new protocol for remotely preparing a two-qubit state via the shared three bipartite entanglements. The success probability and the classical communication cost are also minutely calculated. Then I concisely generalize it to multi-party case and multi-qubit state case, respectively. In contrast to the previous schemes [Int. J. Theor. Phys.48 (2009) 2005; Int. J. Theor. Phys.46 (2007) 2378; Commun. Theor. Phys.47 (2007) 247], this protocol has distinct advantages overwhelming the above ones as far as quantum resource consumption and quantum operation difficulty or intensity are concerned.

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