Quantum logical networks for probabilistic teleportation of many particle state of general form

2004 ◽  
Vol 4 (3) ◽  
pp. 186-195
Author(s):  
T. Gao ◽  
F.-L. Yan ◽  
Z.-X. Wang
Keyword(s):  
Quantum Logic ◽  
Particle State ◽  
Von Neumann ◽  
Von Neumann Measurement ◽  
Single Qubit ◽  
Probabilistic Teleportation ◽  
Special Cases

The scheme for probabilistic teleportation of an $N$-particle state of general form is proposed. As the special cases we construct efficient quantum logic networks for implementing probabilistic teleportation of a two-particle state, a three-particle state and a four-particle state of general form, built from single qubit gates, two-qubit controlled-not gates, Von Neumann measurement and classically controlled operations.

Quantum Logic Networks for Probabilistic Teleportation of an Arbitrary Three-Particle State

2005 ◽  
Vol 44 (4) ◽  
pp. 611-614 ◽  
Author(s):  
Xue-Min Qian ◽  
Jian-Xing Fang ◽  
Shi-Qun Zhu ◽  
Yong-Jun Xi
Keyword(s):  
Quantum Logic ◽  
Particle State ◽  
Probabilistic Teleportation

scholarly journals Quantum Logic Network for Probabilistic Teleportation of Two-Particle State in a General Form

2003 ◽  
Vol 20 (12) ◽  
pp. 2094-2097 ◽  
Author(s):  
Gao Ting ◽  
Wang Zhi-Xi ◽  
Yan Feng-Li
Keyword(s):  
Quantum Logic ◽  
Particle State ◽  
Logic Network ◽  
Probabilistic Teleportation

scholarly journals QUANTUM LOGIC GATES USING q-DEFORMED OSCILLATORS

2006 ◽  
Vol 04 (02) ◽  
pp. 297-305 ◽  
Author(s):  
DEBASHIS GANGOPADHYAY ◽  
MAHENDRA NATH SINHA ROY
Keyword(s):  
Angular Momentum ◽  
Phase Shift ◽  
Quantum Logic ◽  
Logic Gates ◽  
Quantum Logic Gates ◽  
Single Qubit ◽  
Schwinger Mechanism

We show that quantum logic gates, viz. the single qubit Hadamard and Phase Shift gates, can also be realized using q-deformed angular momentum states constructed via the Jordan–Schwinger mechanism with two q-deformed oscillators.

Extension of normal functionals on W*-tensor products

1975 ◽  
Vol 78 (2) ◽  
pp. 301-307 ◽  
Author(s):  
Simon Wassermann
Keyword(s):  
Representation Theory ◽  
Tensor Product ◽  
Hilbert Spaces ◽  
General Result ◽  
Von Neumann Algebras ◽  
Tensor Products ◽  
Von Neumann ◽  
Hilbert Algebras ◽  
Special Cases

A deep result in the theory of W*-tensor products, the Commutation theorem, states that if M and N are W*-algebras faithfully represented as von Neumann algebras on the Hilbert spaces H and K, respectively, then the commutant in L(H ⊗ K) of the W*-tensor product of M and N coincides with the W*-tensor product of M′ and N′. Although special cases of this theorem were established successively by Misonou (2) and Sakai (3), the validity of the general result remained conjectural until the advent of the Tomita-Takesaki theory of Modular Hilbert algebras (6). As formulated, the Commutation theorem is a spatial result; that is, the W*-algebras in its statement are taken to act on specific Hilbert spaces. Not surprisingly, therefore, known proofs rely heavily on techniques of representation theory.

scholarly journals On the Exact Variance of Tsallis Entanglement Entropy in a Random Pure State

Entropy ◽  
2019 ◽  
Vol 21 (5) ◽  
pp. 539 ◽  
Author(s):  
Lu Wei
Keyword(s):  
Pure State ◽  
Entanglement Entropy ◽  
Tsallis Entropy ◽  
Von Neumann Entropy ◽  
Quadratic Entropy ◽  
Von Neumann ◽  
Special Cases ◽  
Variance Formula ◽  
Finite Sums ◽  
Random Pure State

The Tsallis entropy is a useful one-parameter generalization to the standard von Neumann entropy in quantum information theory. In this work, we study the variance of the Tsallis entropy of bipartite quantum systems in a random pure state. The main result is an exact variance formula of the Tsallis entropy that involves finite sums of some terminating hypergeometric functions. In the special cases of quadratic entropy and small subsystem dimensions, the main result is further simplified to explicit variance expressions. As a byproduct, we find an independent proof of the recently proven variance formula of the von Neumann entropy based on the derived moment relation to the Tsallis entropy.

Generalized gauge independence and the physical limitations on the von Neumann measurement postulate

1986 ◽  
Vol 16 (12) ◽  
pp. 1263-1284 ◽  
Author(s):  
T. E. Feuchtwang ◽  
E. Kazes ◽  
P. H. Cutler
Keyword(s):  
Von Neumann ◽  
Von Neumann Measurement ◽  
Physical Limitations

Probabilistic Teleportation of n -Particle State via n Pairs of Entangled Particles

2005 ◽  
Vol 43 (1) ◽  
pp. 69-72 ◽  
Author(s):  
Cao Min ◽  
Zhu Shi-Qun
Keyword(s):  
Particle State ◽  
Probabilistic Teleportation

Probabilistic teleportation of an arbitrary two-particle state by a partially entangled three-particle GHZ state and W state

2004 ◽  
Vol 231 (1-6) ◽  
pp. 281-287 ◽  
Author(s):  
Hong-Yi Dai ◽  
Ping-Xing Chen ◽  
Cheng-Zu Li
Keyword(s):  
Ghz State ◽  
W State ◽  
Particle State ◽  
Probabilistic Teleportation

scholarly journals An efficient quantum teleportation of six-qubit state via an eight-qubit cluster state

2018 ◽  
Vol 96 (6) ◽  
pp. 650-653 ◽  
Author(s):  
Nan Zhao ◽  
Min Li ◽  
Nan Chen ◽  
Chang-xing Pei
Keyword(s):  
Quantum Channel ◽  
Quantum Teleportation ◽  
Cluster State ◽  
Qubit State ◽  
Particle State ◽  
Projective Measurement ◽  
Particle Cluster ◽  
Von Neumann ◽  
Original State ◽  
Intrinsic Efficiency

We present a scheme for teleporting a certain class of six-particle state via an eight-particle cluster state as quantum channel. In our scheme, the sender merely needs to perform an eight-particle von-Neumann projective measurement, and the receiver gives a corresponding general evolution to restore the original state. Our scheme is a deterministic scheme. Compared with other schemes proposed before, our scheme possesses higher intrinsic efficiency.

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