SYMMETRIC AND PROBABILISTIC MULTIPARTY REMOTE STATE PREPARATION VIA THE POSITIVE-OPERATOR-VALUED MEASURE

2009 ◽  
Vol 07 (05) ◽  
pp. 991-999 ◽  
Author(s):  
YI-MIN LIU ◽  
ZHANG-YIN WANG ◽  
XIAN-SONG LIU ◽  
ZHAN-JUN ZHANG
Keyword(s):  
Positive Operator ◽  
Qubit State ◽  
Remote State Preparation ◽  
The Other ◽  
Projective Measurement ◽  
State Preparation ◽  
Single Qubit ◽  
Prepared State ◽  
Positive Operator Valued Measure

We present a tripartite scheme for a preparer to remotely prepare an arbitrary single-qubit state in either distant ministrant's place by using a GHZ-type state. After the preparer's single-qubit state projective measurement, by performing a proper positive operator-valued measure, one ministrant can construct the preparer's state in a probabilistic manner with the other ministrant's assistance. Furthermore, we show that the remote state preparation can be achieved with a higher probability provided that the prepared state belongs to two special ensembles. Finally, we sketch the generalization of the tripartite scheme to a multiparty case.

PROBABILISTIC REMOTELY PREPARING AN ARBITRARY TWO-PARTICLE ENTANGLED STATE VIA POSITIVE OPERATOR-VALUED MEASURE

2008 ◽  
Vol 06 (06) ◽  
pp. 1183-1193 ◽  
Author(s):  
KUI HOU ◽  
JING WANG ◽  
SHOU-HUA SHI
Keyword(s):  
Positive Operator ◽  
Cluster State ◽  
Success Probability ◽  
Remote State Preparation ◽  
Entangled State ◽  
Classical Communication ◽  
Maximally Entangled State ◽  
State Preparation ◽  
Projective Measurements ◽  
Positive Operator Valued Measure

By means of the method of the positive operator-valued measure, two schemes to remotely prepare an arbitrary two-particle entangled state were presented. The first scheme uses a one-dimensional four-particle non-maximally entangled cluster state while the second one uses two partially entangled two-particle states as the quantum channel. For both schemes, if Alice performs two-particle projective measurements and Bob adopts positive operator-valued measure, the remote state preparation can be successfully realized with certain probability. The success probability of the remote state preparation and classical communication cost are calculated. It is shown that Bob can obtain the unknown state with probability 1/4 for maximally entangled state. However, for four kinds of special states, the success probability of preparation can be enhanced to unity.

REMOTE INFORMATION CONCENTRATION VIA FOUR-PARTICLE CLUSTER STATE AND BY POSITIVE OPERATOR-VALUE MEASUREMENT

2013 ◽  
Vol 27 (18) ◽  
pp. 1350091 ◽  
Author(s):  
JIA-YIN PENG ◽  
MING-XING LUO ◽  
ZHI-WEN MO
Keyword(s):  
Quantum Information ◽  
Positive Operator ◽  
Quantum Channel ◽  
Cluster State ◽  
Projective Measurement ◽  
Particle Cluster ◽  
Single Qubit ◽  
Global Operations ◽  
Value Measurement ◽  
Positive Operator Valued Measure

By using a proper positive operator-valued measure (POVM), we present two new schemes for remote information concentration via four-particle cluster state. It is demonstrated that by employing a maximally entangled (respectively, nonmaximally entangled) four-particle cluster state as the quantum channel, quantum information initially and generally (respectively, specially) distributed in three spatially separated qubits can be remotely and probabilistically concentrated back to a single qubit without performing any global operations. Moreover, the total success probabilities of these two protocols are also worked out. It is more easier to realize experimentally by POVM than by projective measurement.

QUANTUM THREE-QUBIT W-STATE SHARING VIA POSITIVE OPERATOR-VALUED MEASUREMENT AND PROJECTIVE MEASUREMENT

2012 ◽  
Vol 26 (31) ◽  
pp. 1250208 ◽  
Author(s):  
MING-QIANG BAI ◽  
ZHI-WEN MO
Keyword(s):  
Positive Operator ◽  
Bell State ◽  
Qubit State ◽  
Quantum State Sharing ◽  
Projective Measurement ◽  
Original State ◽  
Single Qubit ◽  
Measurement Results ◽  
Maximally Entangled States ◽  
Bell State Measurements

In this paper, by using a proper positive operator-valued measurement, we propose a new tripartite scheme for probabilistically implementing quantum state sharing of an arbitrary unknown three-qubit state with two non-maximally entangled states, one is four-qubit state, another is three-qubit state. In the scheme, the Boss Alice partitions her unknown original state with two Bell-state measurements and a single-qubit projective measurement. Then she publishes her measurement results via a classical channel. With an agent Charlie's help, another agent Bob can recover the original state in probabilistic manner by performing a proper POVM.

QUANTUM KEY DISTRIBUTION AND REMOTE STATE PREPARATION VIA CLUSTER STATE

2010 ◽  
Vol 24 (10) ◽  
pp. 995-1001 ◽  
Author(s):  
GUO-FANG SHI
Keyword(s):  
Quantum Key Distribution ◽  
Cluster State ◽  
Key Distribution ◽  
Qubit State ◽  
Remote State Preparation ◽  
Particle Cluster ◽  
State Preparation ◽  
Real Complex

In this paper, the schemes of quantum key distribution and remote state preparation of an arbitrary two-qubit state via four-particle cluster state are proposed. The efficiency of the former is 1 and the probability of the latter is 1(1/4) if the coefficients are real (complex).

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