Decoherence in generalized measurement and the quantum Zeno paradox

2014 ◽  
Vol 540 (1) ◽  
pp. 1-23 ◽  
Author(s):  
Gerhard Mack ◽  
Sascha Wallentowitz ◽  
Peter E. Toschek
Keyword(s):  
Generalized Measurement

scholarly journals Generalized measurement and conclusive teleportation with nonmaximal entanglement

2004 ◽  
Vol 70 (1) ◽  
Author(s):  
Hyunjae Kim ◽  
Yong Wook Cheong ◽  
Hai-Woong Lee
Keyword(s):  
Generalized Measurement

Control Decoherence by Quantum Generalized Measurement

2008 ◽  
Vol 34 (4) ◽  
pp. 433-436 ◽  
Author(s):  
Ming ZHANG ◽  
Bao-Quan OU ◽  
Hong-Yi DAI ◽  
De-Wen HU
Keyword(s):  
Generalized Measurement

scholarly journals QUANTUMNESS OF CORRELATIONS AND ENTANGLEMENT

2011 ◽  
Vol 09 (07n08) ◽  
pp. 1757-1771 ◽  
Author(s):  
A. R. USHA DEVI ◽  
A. K. RAJAGOPAL ◽  
SUDHA
Keyword(s):  
Density Matrix ◽  
General Setting ◽  
Trace Class ◽  
Quantum Correlations ◽  
Completely Positive ◽  
Generalized Measurement ◽  
Linear Maps ◽  
Classical Quantum ◽  
First Time ◽  
General Perspective

Generalized measurement schemes on one part of bipartite states, which would leave the set of all separable states insensitive are explored here to understand quantumness of correlations in a more general perspective. This is done by employing linear maps associated with generalized projective measurements. A generalized measurement corresponds to a quantum operation mapping a density matrix to another density matrix, preserving its positivity, hermiticity, and trace class. The positive operator valued measure (POVM) — employed earlier in the literature to optimize the measures of classical/quantum correlations — correspond to completely positive (CP) maps. The other class, the not completely positive (NCP) maps, are investigated here, in the context of measurements, for the first time. It is shown that such NCP projective maps provide a new clue to the understanding of quantumness of correlations in a general setting. Especially, the separability–classicality dichotomy gets resolved only when both the classes of projective maps (CP and NCP) are incorporated as optimizing measurements. An explicit example of a separable state — exhibiting nonzero quantum discord, when possible optimizing measurements are restricted to POVMs — is reexamined with this extended scheme incorporating NCP projective maps to elucidate the power of this approach.

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.

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