DETERMINISTIC AND EXACT TELEPORTATION OF A SINGLE-QUBIT ROTATION ON REMOTE QUBITS USING TWO PARTIALLY ENTANGLED STATES

2008 ◽  
Vol 22 (03) ◽  
pp. 199-207 ◽  
Author(s):  
LI-BING CHEN ◽  
RUI-BO JIN ◽  
HONG LU
Keyword(s):  
Positive Operator ◽  
The Other ◽  
Quantum Gates ◽  
Entangled States ◽  
Controlled Teleportation ◽  
Generalized Measurement ◽  
Single Qubit ◽  
Partially Entangled States ◽  
Unit Probability

Teleportation of quantum gates using partially entangled states is considered. Different from the known probability schemes, we propose and study a method for teleporting a prototypical single-qubit rotation on a remote receiver with unit fidelity and unit probability by using two partially entangled pairs. The method is applicable to any two partially entangled pairs satisfying the condition that their smaller Schmidt coefficients γ and η are (2γ+2η-2γη-1)≥0. In our scheme, the sender's local generalized measurement described by a positive operator-valued measurement (POVM) lies at the heart. We construct the required POVM. The fact that the controlled teleportation of single-qubit rotation could be realized exactly using two partially entangled pairs is also notable. A sender could teleport a rotation on a remote receiver, an arbitrary one of the two receivers, via the control of the other in a network.

REALIZING OPEN-DESTINATION AND CONTROLLED TELEPORTATION OF A ROTATION USING PARTIALLY ENTANGLED PAIRS

2011 ◽  
Vol 25 (21) ◽  
pp. 2853-2862 ◽  
Author(s):  
LI-BING CHEN ◽  
RUI-BO JIN ◽  
TAN PENG ◽  
HONG LU
Keyword(s):  
Positive Operator ◽  
Controlled Teleportation ◽  
Generalized Measurement ◽  
Single Qubit

We present a scheme for realizing open-destination and controlled teleportation of a single-qubit rotation gate, albeit probabilistically, by using partially entangled pairs of particles. In the scheme, a quantum rotation is faithfully teleported onto any one of N spatially separated receivers under the control of the (N-1) unselected receivers in a network. We first present the three-destination and controlled teleportation of a rotation gate by using three partially entangled pairs, and then generalize the scheme to the case of N-destination. In our scheme, the sender's local generalized measurement described by a positive operator-valued measurement (POVM) lies at the heart. We construct the required POVM. The fact that deterministic and exact teleportation of a rotation gate could be realized using partially entangled pairs is notable.

REMOTE GENERALIZED MEASUREMENTS USING PARTIALLY ENTANGLED STATES

2006 ◽  
Vol 04 (01) ◽  
pp. 181-187 ◽  
Author(s):  
B. REZNIK
Keyword(s):  
Entangled States ◽  
Generalized Measurement ◽  
Maximally Entangled States ◽  
Partially Entangled States ◽  
Projective Measurements

We propose a method for implementing remotely a generalized measurement (POVM). We show that remote generalized measurements consume less entanglement compared with remote projective measurements, and can be optimally performed using non-maximally entangled states. We derive the entanglement cost of such measurements.

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.

scholarly journals DECOMPOSITION OF UNITARY MATRICES AND QUANTUM GATES

2013 ◽  
Vol 11 (01) ◽  
pp. 1350015 ◽  
Author(s):  
CHI-KWONG LI ◽  
REBECCA ROBERTS ◽  
XIAOYAN YIN
Keyword(s):  
General Scheme ◽  
Quantum Gate ◽  
Quantum Gates ◽  
Unitary Matrix ◽  
Additional Structure ◽  
Unitary Matrices ◽  
Decomposition Scheme ◽  
Single Qubit ◽  
Matlab Program

A general scheme is presented to decompose a d-by-d unitary matrix as the product of two-level unitary matrices with additional structure and prescribed determinants. In particular, the decomposition can be done by using two-level matrices in d - 1 classes, where each class is isomorphic to the group of 2 × 2 unitary matrices. The proposed scheme is easy to apply, and useful in treating problems with the additional structural restrictions. A Matlab program is written to implement the scheme, and the result is used to deduce the fact that every quantum gate acting on n-qubit registers can be expressed as no more than 2n-1(2n-1) fully controlled single-qubit gates chosen from 2n-1 classes, where the quantum gates in each class share the same n - 1 control qubits. Moreover, it is shown that one can easily adjust the proposed decomposition scheme to take advantage of additional structure evolving in the process.

scholarly journals Quantum cryptography using partially entangled states

2010 ◽  
Vol 283 (1) ◽  
pp. 184-188 ◽  
Author(s):  
Goren Gordon ◽  
Gustavo Rigolin
Keyword(s):  
Quantum Cryptography ◽  
Entangled States ◽  
Partially Entangled States
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