Classical communication cost and probabilistic remote two-qubit state preparation via POVM and W-type states

2011 ◽  
Vol 11 (6) ◽  
pp. 1585-1602 ◽  
Author(s):  
Zhang-yin Wang
Keyword(s):  
Communication Cost ◽  
Qubit State ◽  
Classical Communication ◽  
State Preparation ◽  
Classical Communication Cost

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

2008 ◽  
Vol 06 (05) ◽  
pp. 1101-1113 ◽  
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.

CLASSICAL COMMUNICATION COSTS IN QUANTUM INFORMATION PROCESSING

2011 ◽  
Vol 09 (05) ◽  
pp. 1267-1278 ◽  
Author(s):  
MING-XING LUO ◽  
XIU-BO CHEN ◽  
YI-XIAN YANG ◽  
XIN-XIN NIU
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
Quantum Teleportation ◽  
Quantum Information Processing ◽  
Communication Cost ◽  
Remote State Preparation ◽  
Classical Communication ◽  
State Preparation ◽  
Classical Communication Cost ◽  
Special Measurement

Classical communication plays an important role in quantum information processing such as remote state preparation and quantum teleportation. First, in this paper, we present some simple faithful remote state preparation of an arbitrary n-qubit state by constructing entanglement resources and special measurement basis for the sender. Then to weigh the classical resource required, we present an information-theoretical model to evaluate the classical communication cost. By optimizing the classical communication in quantum protocols, we obtain the optimal classical communication cost. This model can also be applied to the quantum teleportation. Moreover, based on the present computation model, we reinvestigate some remote state preparation and teleportation protocols in which the classical communication cost was imperfectly computed. Finally, some problems will be presented.

ENTANGLEMENT CONCENTRATION AND DILUTION REVISITED

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.

REMOTE PREPARATION OF TWO-QUBIT ENTANGLED STATE VIA ONE-DIMENSIONAL FOUR-QUBIT CLUSTER AND CLUSTER-CLASS STATES

2011 ◽  
Vol 09 (01) ◽  
pp. 539-546 ◽  
Author(s):  
LIAN-FANG HAN ◽  
HAO YUAN
Keyword(s):  
Success Probability ◽  
Communication Cost ◽  
Entangled State ◽  
Quantum Channels ◽  
Classical Communication ◽  
One Dimensional ◽  
Classical Communication Cost ◽  
Remote Preparation ◽  
Cluster Class

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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