12 Quantum States: Discrimination and Classical Information Transmission.A Review of Experimental Progress

2004 ◽  
pp. 467-511 ◽  
Author(s):  
Anthony Chefles
Keyword(s):  
Quantum States ◽  
Classical Information

scholarly journals Zero uncertainty states in the presence of quantum memory

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Huangjun Zhu
Keyword(s):  
Uncertainty Principle ◽  
Quantum States ◽  
Quantum Memory ◽  
System State ◽  
Von Neumann ◽  
Practical Applications ◽  
Classical Information ◽  
Fundamental Limit ◽  
Minimum Uncertainty ◽  
Incompatible Observables

AbstractThe uncertainty principle imposes a fundamental limit on predicting the measurement outcomes of incompatible observables even if complete classical information of the system state is known. The situation is different if one can build a quantum memory entangled with the system. Zero uncertainty states (in contrast with minimum uncertainty states) are peculiar quantum states that can eliminate uncertainties of incompatible von Neumann observables once assisted by suitable measurements on the memory. Here we determine all zero uncertainty states of any given set of nondegenerate observables and determine the minimum entanglement required. It turns out all zero uncertainty states are maximally entangled in a generic case, and vice versa, even if these observables are only weakly incompatible. Our work establishes a simple and precise connection between zero uncertainty and maximum entanglement, which is of interest to foundational studies and practical applications, including quantum certification and verification.

scholarly journals CLASSICAL TELEPORTATION OF CLASSICAL STATES

2006 ◽  
Vol 06 (02) ◽  
pp. C1-C8 ◽  
Author(s):  
OLIVER COHEN
Keyword(s):  
Quantum Teleportation ◽  
Quantum States ◽  
Standard Quantum ◽  
Classical Information ◽  
Classical Scheme ◽  
Classical States

The standard quantum teleportation scheme is deconstructed, and those aspects of it that appear remarkable and "non-classical" are identified. An alternative teleportation scheme, involving only classical states and classical information, is then formulated, and it is shown that the classical scheme reproduces all of these remarkable aspects, despite the fact that they had seemed non-classical. This leads to a re-examination of quantum teleportation, which suggests that its significance depends on the interpretation of quantum states.

scholarly journals ALGORITHMIC COMPLEXITY OF QUANTUM STATES

2006 ◽  
Vol 04 (04) ◽  
pp. 715-737 ◽  
Author(s):  
CATERINA E. MORA ◽  
HANS J. BRIEGEL
Keyword(s):  
Quantum State ◽  
Kolmogorov Complexity ◽  
Quantum States ◽  
Algorithmic Complexity ◽  
Experimental Procedure ◽  
Classical Information ◽  
Universal Machine ◽  
Intuitive Idea ◽  
Pure Quantum State ◽  
Classical Information Theory

We give a definition for the Kolmogorov complexity of a pure quantum state. In classical information theory, the algorithmic complexity of a string is a measure of the information needed by a universal machine to reproduce the string itself. We define the complexity of a quantum state by means of the classical description complexity of an (abstract) experimental procedure that allows us to prepare the state with a given fidelity. We argue that our definition satisfies the intuitive idea of complexity as a measure of "how difficult" it is to prepare a state. We apply this definition to give an upper bound on the algorithmic complexity of a number of known states. Furthermore, we establish a connection between the entanglement of a quantum state and its algorithmic complexity.

Efficient simultaneous dense coding and teleportation with two-photon four-qubit cluster states

2016 ◽  
Vol 14 (05) ◽  
pp. 1650023 ◽  
Author(s):  
Cai Zhang ◽  
Haozhen Situ ◽  
Qin Li ◽  
Guang Ping He
Keyword(s):  
Degrees Of Freedom ◽  
Quantum States ◽  
Degree Of Freedom ◽  
Generation Rate ◽  
Entangled States ◽  
Dense Coding ◽  
Cluster States ◽  
Two Degrees Of Freedom ◽  
Classical Information ◽  
Two Photon

We firstly propose a simultaneous dense coding protocol with two-photon four-qubit cluster states in which two receivers can simultaneously get their respective classical information sent by a sender. Because each photon has two degrees of freedom, the protocol will achieve a high transmittance. The security of the simultaneous dense coding protocol has also been analyzed. Secondly, we investigate how to simultaneously teleport two different quantum states with polarization and path degree of freedom using cluster states to two receivers, respectively, and discuss its security. The preparation and transmission of two-photon four-qubit cluster states is less difficult than that of four-photon entangled states, and it has been experimentally generated with nearly perfect fidelity and high generation rate. Thus, our protocols are feasible with current quantum techniques.

scholarly journals Local encoding of classical information onto quantum states

2007 ◽  
Vol 54 (13-15) ◽  
pp. 2259-2273 ◽  
Author(s):  
Yu Tanaka ◽  
Damian Markham ◽  
Mio Murao
Keyword(s):  
Quantum States ◽  
Classical Information

scholarly journals Quantum Controlled Teleportation of Arbitrary Two-Qubit State via Entangled States

2018 ◽  
Vol 2018 ◽  
pp. 1-4 ◽  
Author(s):  
Lei Shi ◽  
Kaihang Zhou ◽  
Jiahua Wei ◽  
Yu Zhu ◽  
Qiuli Zhu
Keyword(s):  
Quantum Channel ◽  
Quantum States ◽  
Qubit State ◽  
Entangled States ◽  
Controlled Teleportation ◽  
Entangled State ◽  
Classical Information ◽  
Implementation Processes ◽  
Successful Probability

We put forward an efficient quantum controlled teleportation scheme, in which arbitrary two-qubit state is transmitted from the sender to the remote receiver via two entangled states under the control of the supervisor. In this paper, we use the combination of one two-qubit entangled state and one three-qubit entangled state as quantum channel for achieving the transmission of unknown quantum states. We present the concrete implementation processes of this scheme. Furthermore, we calculate the successful probability and the amount of classical information of our protocol.

scholarly journals Super-activating quantum memory with entanglement

2018 ◽  
Vol 18 (13&14) ◽  
pp. 1115-1124
Author(s):  
Ji Guan ◽  
Yuan Feng ◽  
Mingsheng Ying
Keyword(s):  
Quantum Information ◽  
Quantum Information Processing ◽  
Cell Model ◽  
Sufficient Conditions ◽  
Memory Cell ◽  
Quantum States ◽  
Quantum Memory ◽  
Stationary States ◽  
Classical Information ◽  
Necessary And Sufficient

Noiseless subsystems were proved to be an efficient and faithful approach to preserve fragile information against decoherence in quantum information processing and quantum computation. They were employed to design a general (hybrid) quantum memory cell model that can store both quantum and classical information. In this paper, we find an interesting new phenomenon that the purely classical memory cell can be super-activated to preserve quantum states, whereas the null memory cell can only be super-activated to encode classical information. Furthermore, necessary and sufficient conditions for this phenomenon are discovered so that the super-activation can be easily checked by examining certain eigenvalues of the quantum memory cell without computing the noiseless subsystems explicitly. In particular, it is found that entangled and separable stationary states are responsible for the super-activation of storing quantum and classical information, respectively.

Geometry of Quantum States

2006 ◽  
Author(s):  
Ingemar Bengtsson ◽  
Karol Zyczkowski
Keyword(s):  
Quantum States

Transport of quantum states of periodically driven systems

1990 ◽  
Vol 51 (8) ◽  
pp. 709-722 ◽  
Author(s):  
H.P. Breuer ◽  
K. Dietz ◽  
M. Holthaus
Keyword(s):  
Quantum States ◽  
Driven Systems ◽  
Periodically Driven
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