High success perfect transmission of 1-qubit information using purposefully delayed sharing of non-maximally entangled 2-qubit resource and repeated generalized Bell-state measurements

We propose a new scheme in which perfect transmission of 1-qubit information is achieved with high success using purposefully delayed sharing of non-maximally entangled 2-qubit resource and repeated generalized Bell-state measurements (GBSM). Alice possesses initially all qubits and she makes repeated GBSM on the pair of qubits, consisting of (1) the qubit of information state and (2) one of the two entangled resource qubits (taken alternately) until transmission with perfect fidelity is indicated. Alice then sends to Bob, the qubit not used in the last GBSM and also the result of this GBSM and Bob applies a suitable unitary transformation to replicate exactly the information state. Continued probabilistic transmission with unit fidelity is achieved by changing continuously the generalized Bell basis and also the pair of measured qubits of the collapsed states. We calculate the success probability up to the third repeated attempt of GBSM and plot it with concurrence of the entangled resource state. We also discuss the maximal average fidelity.

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Dense quantum communication using single- and two-particle operations on six-particle cluster state

Quantum Information and Computation ◽

10.26421/qic16.3-4-5 ◽

2016 ◽

Vol 16 (3&4) ◽

pp. 271-290

Author(s):

Parminder S. Bhatia

Keyword(s):

Single Particle ◽

Fault Tolerant ◽

Cluster State ◽

Success Probability ◽

Bell State ◽

Dense Coding ◽

Quantum Dense Coding ◽

Long Distance ◽

Coding Scheme ◽

Bell State Measurements

Theory of controlled tripartite quantum dense coding for the transmission of four-binary bits between two distinct locations is presented. The entanglement resource for this transmission is provided by a six-qubit cluster state. Theoretical detail of an encoder that can encode sixteen different operations and a four-bit binary decoder required for this transmission is discussed. We show that in the absence of availability of any four-state analyzer decoding can be reduced to single-particle and two-particle Bell-state measurements ( BSM ). In our scheme, Bell-state measurements ( BSM ) performed during decoding, result in Bell-pairs, which along with single-particle projections are used to unambiguously discriminate all sixteen encoding operations. Proposed experiment to verify theory of tripartite quantum dense coding scheme, using photonic entanglement, is also briefly discussed. Success probability of the scheme is determined. In addition, long-distance implementation of this tripartite quantum dense coding scheme is discussed. Fault-tolerant quantum repeaters used in this long-distance scheme are based on quantum errorcorrection, which is achieved with the aid of Calderbank-Shor-Steane ( CSS ) encoding.

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

International Journal of Quantum Information ◽

10.1142/s0219749908004237 ◽

2008 ◽

Vol 06 (05) ◽

pp. 1093-1099 ◽

Cited By ~ 13

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.

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Quantum information processing with hyperentangled photon states

Quantum Information and Computation ◽

10.26421/qic6.4-5-3 ◽

2006 ◽

Vol 6 (4&5) ◽

pp. 336-350

Author(s):

S. P. Walborn ◽

M. P. Almeida ◽

P. H. Souto Ribeiro ◽

C. H. Monken

Keyword(s):

Information Processing ◽

Quantum Information ◽

Degrees Of Freedom ◽

Quantum Information Processing ◽

Success Probability ◽

Bell State ◽

Multiple Degrees Of Freedom ◽

Photon States ◽

Probabilistic Nature ◽

Bell State Measurements

We discuss quantum information processing with hyperentangled photon states - states entangled in multiple degrees of freedom. Using an additional entangled degree of freedom as an ancilla space, it has been shown that it is possible to perform efficient Bell-state measurements. We briefly review these results and present a novel deterministic quantum key distribution protocol based on Bell-state measurements of hyperentangled photons. In addition, we propose a scheme for a probabilistic controlled-not gate which operates with a 50% success probability. We also show that despite its probabilistic nature, the controlled-not gate can be used for an efficient, nonlocal demonstration of the Deutsch algorithm using two separate photons.

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Noise-Resistant Device-Independent Certification of Bell State Measurements

Physical Review Letters ◽

10.1103/physrevlett.121.250506 ◽

2018 ◽

Vol 121 (25) ◽

Cited By ~ 15

Author(s):

Jean-Daniel Bancal ◽

Nicolas Sangouard ◽

Pavel Sekatski

Keyword(s):

Bell State ◽

Bell State Measurements

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BIDIRECTIONAL QUANTUM SECURE DIRECT COMMUNICATION IN DRIVEN CAVITY QED

Modern Physics Letters B ◽

10.1142/s0217984909021259 ◽

2009 ◽

Vol 23 (27) ◽

pp. 3225-3234 ◽

Cited By ~ 22

Author(s):

CHUAN-JIA SHAN ◽

JI-BING LIU ◽

WEI-WEN CHENG ◽

TANG-KUN LIU ◽

YAN-XIA HUANG ◽

...

Keyword(s):

Cavity Qed ◽

Thermal Field ◽

Success Probability ◽

Bell State ◽

Quantum Secure Direct Communication ◽

Entanglement Swapping ◽

Direct Communication ◽

Driven Cavity ◽

Cavity Decay ◽

Probability Of Success

A theoretical scheme of bidirectional quantum secure direct communication is proposed in the context of driven cavity QED. We first present an entanglement swapping scheme in cavities where two atoms without previous interaction can be entangled with a success probability of unity. Then, based on a novel property of entanglement swapping, we propose a bidirectional quantum secure direct communication protocol, in which two legitimate users can exchange their different secret messages simultaneously in a direct way. The probability of success in our scheme is 1.0. This scheme does not involve apparent (or direct) Bell-state measurements and is insensitive to the cavity decay and the thermal field.

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CONTROLLED TELEPORTATION OF AN ARBITRARY THREE-QUBIT STATE THROUGH A GENUINE SIX-QUBIT ENTANGLED STATE AND BELL-STATE MEASUREMENTS

International Journal of Quantum Information ◽

10.1142/s0219749911007708 ◽

2011 ◽

Vol 09 (02) ◽

pp. 763-772 ◽

Cited By ~ 4

Author(s):

YI-YOU NIE ◽

YUAN-HUA LI ◽

JUN-CHANG LIU ◽

MING-HUANG SANG

Keyword(s):

Bell State ◽

Qubit State ◽

Controlled Teleportation ◽

Entangled State ◽

Bell State Measurements

We demonstrate that a genuine six-qubit entangled state introduced by Tapiador et al. [J. Phys. A42 (2009) 415301] can be used to realize the deterministic controlled teleportation of an arbitrary three-qubit state by performing only the Bell-state measurements.

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MULTIPARTY QUANTUM STATE SHARING OF m-QUBIT STATE

International Journal of Modern Physics C ◽

10.1142/s0129183107011674 ◽

2007 ◽

Vol 18 (11) ◽

pp. 1699-1706 ◽

Cited By ~ 12

Author(s):

LI DONG ◽

XIAOMING XIU ◽

YAJUN GAO

Keyword(s):

Quantum State ◽

Unitary Transformation ◽

Bell State ◽

Ghz State ◽

Qubit State ◽

Particle State ◽

Quantum State Sharing ◽

Classical Information ◽

Computational Basis ◽

Bell State Measurements

A scheme for quantum state sharing (QSTS) of a one-particle state is proposed for a three-particle GHZ state utilized as a quantum channel. After the sender (Alice) makes Bell-state measurements (BM) on her particles, and the controller (Charlie) performs a computational basis measurement (CM), the recipient (Bob) only needs to carry out a unitary transformation of the classical information from the sender and the controller. Finally, the scheme is generalized to multiparty QSTS of a one-qubit state with n agents and an m-qubit state with n agents.

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TRANSFORMATION FROM PROBABILISTIC CHANNEL TO DETERMINISTIC CHANNEL BASED ON EIGHT-QUBIT QUANTUM CHANNEL

Modern Physics Letters B ◽

10.1142/s0217984913500309 ◽

2013 ◽

Vol 27 (04) ◽

pp. 1350030 ◽

Cited By ~ 3

Author(s):

MING-QIANG BAI ◽

JIA-YIN PENG ◽

ZHI-WEN MO

Keyword(s):

Quantum Channel ◽

Quantum Teleportation ◽

Bell State ◽

High Dimensional ◽

General Quantum ◽

Probabilistic Teleportation ◽

Physics Experiments ◽

Bell State Measurements

In physics experiments, it is very difficult to realize directly using high-dimensional unitary operations. In order to decrease or avoid the shortage during the teleportation process based on probabilistic channel, we propose a new scheme to reconstruct a deterministic teleportation eight-qubit channel using Bell-state measurements based on the probabilistic channel, which replaces high-dimensional unitary operations. In our scheme, a new quantum channel without alterable parameters replaces the general quantum channel with parameters as probabilistic teleportation. It shows that if we choose an eight-qubit probabilistic channel to construct deterministic channel, the relevant parameters of the eight-qubit probabilistic channel can be avoided. Thus, in quantum teleportation process, quantum channel can be chosen as a deterministic channel. This shows that our scheme makes real experiments more suitable.

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