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.

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.

PROBABILISTIC TELEPORTATION OF AN ARBITRARY TWO-QUBIT STATE VIA ONE-DIMENSIONAL FOUR-QUBIT CLUSTER-CLASS STATE

2008 ◽  
Vol 06 (05) ◽  
pp. 1093-1099 ◽  
Author(s):  
LIAN-FANG HAN ◽  
HAO YUAN
Keyword(s):  
Success Probability ◽  
Bell State ◽  
Qubit State ◽  
Classical Communication ◽  
Present Scheme ◽  
One Dimensional ◽  
Classical Communication Cost ◽  
Probabilistic Teleportation ◽  
Cluster Class ◽  
Bell State Measurements

An explicit scheme for probabilistically teleporting an arbitrary two-qubit state is proposed by using a one-dimensional four-qubit cluster-class state as the quantum channel. In the scheme, the sender first performs two Bell state measurements (BSMs). Then with the sender's help, the receiver can reconstruct the original state probabilistically by introducing an auxiliary qubit and making appropriate unitary operations. Moreover, the total success probability and classical communication cost of the present scheme are also calculated.

Generalized three-party sharing of operations on remote single qutrit

2014 ◽  
Vol 12 (03) ◽  
pp. 1450011 ◽  
Author(s):  
Pengfei Xing ◽  
Yimin Liu ◽  
Chuanmei Xie ◽  
Xiansong Liu ◽  
Zhanjun Zhang
Keyword(s):  
Success Probability ◽  
Entangled States ◽  
Entangled State ◽  
Quantum Channels ◽  
Channel State ◽  
Classical Communication ◽  
Maximally Entangled State ◽  
Quantum Operations ◽  
Local Operation ◽  
Maximally Entangled States

Two three-party schemes are put forward for sharing quantum operations on a remote qutrit with local operation and classical communication as well as shared entanglements. The first scheme uses a two-qutrit and three-qutrit non-maximally entangled states as quantum channels, while the second replaces the three-qutrit non-maximally entangled state with a two-qutrit. Both schemes are treated and compared from the four aspects of quantum and classical resource consumption, necessary-operation complexity, success probability and efficiency. It is found that the latter is overall more optimal than the former as far as a restricted set of operations is concerned. In addition, comparisons of both schemes with other four relevant ones are also made to show their two features, including degree generalization and channel-state generalization. Furthermore, some concrete discussions on both schemes are made to expose their important features of security, symmetry and experimental feasibility. Particularly, it is revealed that the success probabilities and intrinsic efficiencies in both schemes are completely determined by the shared entanglement.

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

2011 ◽  
Vol 09 (02) ◽  
pp. 809-822 ◽  
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.

REMOTE FIELD AND ATOMIC STATE PREPARATION

2008 ◽  
Vol 06 (02) ◽  
pp. 393-402 ◽  
Author(s):  
RAMEEZ-UL- ISLAM ◽  
MANZOOR IKRAM ◽  
ASHFAQ H. KHOSA ◽  
FARHAN SAIF
Keyword(s):  
Cavity Qed ◽  
Success Probability ◽  
Classical Field ◽  
Atomic State ◽  
Entangled State ◽  
High Fidelity ◽  
Classical Communication ◽  
Protocol Execution ◽  
Remote Preparation ◽  
Atomic States

A scheme for remote preparation of field (atomic) states is proposed. Protocol execution requires cavity QED based atom-field interactions successively supplemented with Ramsey interferometry. The state to be remotely prepared at the receiver's end is acquired by deterministically manipulating the sender's component of the pre-shared entangled state. In the case of field entanglement, it is carried out with the help of an atom that passes through the sender's cavity and then traverses a classical external field for specified times prior to detection. However, for atomic entangled states, only interactions with the classical field suffice to complete the task. The scheme guarantees good success probability with high fidelity and requires one bit of classical communication.

MINIMAL CLASSICAL COMMUNICATION COST AND MEASUREMENT COMPLEXITY IN SPLITTING TWO-QUBIT QUANTUM INFORMATION VIA ASYMMETRIC W STATES

2008 ◽  
Vol 06 (06) ◽  
pp. 1245-1253 ◽  
Author(s):  
XUE-QIN ZUO ◽  
YI-MIN LIU ◽  
WEN ZHANG ◽  
XIAO-FENG YIN ◽  
ZHAN-JUN ZHANG
Keyword(s):  
Quantum Information ◽  
Quantum Channel ◽  
Success Probability ◽  
Communication Cost ◽  
Projective Measurement ◽  
Classical Communication ◽  
W States ◽  
Classical Communication Cost ◽  
Split State ◽  
Splitting Process

We propose a scheme for splitting a two-qubit quantum information by using two asymmetric W states as quantum channel. In this scheme the split state is assumed to be completely known by the sender. Because of this, during the splitting process, the sender only needs to perform a two-qubit projective measurement. Once the sender announces the measurement result in terms of the prior agreement, then using this message the two receivers can recover the quantum information via their mutual assistance. We calculate the success probability and classical communication cost of the scheme. In general, the splitting success probability (SSP) is 1/4 and the average classical communication cost is 0.25 bit. However, we find that for some states the SSP can reach 0.5 or even unity after consuming a little additional classical resource.

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