Nonlocal Effects of Quantum State on Fidelity Induced Metric

2017 ◽  
Author(s):  
R. Muthuganesan ◽  
R. Sankaranarayanan
Keyword(s):  
Quantum State ◽  
Nonlocal Effects

scholarly journals Fidelity-based measurement-induced nonlocality over two-sided measurements

2018 ◽  
Vol 16 (06) ◽  
pp. 1850054 ◽  
Author(s):  
R. Muthuganesan ◽  
R. Sankaranarayanan
Keyword(s):  
Quantum State ◽  
Nonlocal Effects ◽  
Von Neumann ◽  
Projective Measurements ◽  
Bipartite States

In this paper, we introduce fidelity-based measurement-induced nonlocality for bipartite quantum state to capture the nonlocal effects due to two-sided von Neumann projective measurements. We identify that all the properties of this quantity are reflected from that of One-sided measurement. We compute this quantity for arbitrary pure and mixed bipartite states. As an illustration, we have studied the nonlocality of Bell diagonal state.

scholarly journals Nonlocal single particle steering generated through single particle entanglement

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
L. M. Arévalo Aguilar
Keyword(s):  
Quantum Mechanics ◽  
Quantum State ◽  
Single Particle ◽  
Thought Experiment ◽  
Nonlocal Effect ◽  
Historical Event ◽  
Entangled State ◽  
Nonlocal Effects ◽  
Action At A Distance

AbstractIn 1927, at the Solvay conference, Einstein posed a thought experiment with the primary intention of showing the incompleteness of quantum mechanics; to prove it, he employed the instantaneous nonlocal effects caused by the collapse of the wavefunction of a single particle—the spooky action at a distance–, when a measurement is done. This historical event preceded the well-know Einstein–Podolsk–Rosen criticism over the incompleteness of quantum mechanics. Here, by using the Stern–Gerlach experiment, we demonstrate how the instantaneous nonlocal feature of the collapse of the wavefunction together with the single-particle entanglement can be used to produce the nonlocal effect of steering, i.e. the single-particle steering. In the steering process Bob gets a quantum state depending on which observable Alice decides to measure. To accomplish this, we fully exploit the spreading (over large distances) of the entangled wavefunction of the single-particle. In particular, we demonstrate that the nonlocality of the single-particle entangled state allows the particle to “know” about the kind of detector Alice is using to steer Bob’s state. Therefore, notwithstanding strong counterarguments, we prove that the single-particle entanglement gives rise to truly nonlocal effects at two faraway places. This opens the possibility of using the single-particle entanglement for implementing truly nonlocal task.

Quantum state transfer in a quantum network: a quantum-optical implementation

1997 ◽  
Vol 44 (10) ◽  
pp. 1727-1736 ◽  
Author(s):  
S. J. VAN ENK , J. I. CIRAC , P. ZOLLE
Keyword(s):  
Quantum State ◽  
Quantum Network ◽  
Quantum State Transfer ◽  
State Transfer ◽  
Quantum Optical

The maximum mutual information without coding for binary quantum-state signals

1998 ◽  
Vol 45 (2) ◽  
pp. 269-282 ◽  
Author(s):  
MASAO OSAKI, OSAMU HIROTA MASASHI BAN
Keyword(s):  
Mutual Information ◽  
Quantum State ◽  
Maximum Mutual Information

Probability and Explanation

2017 ◽  
Author(s):  
Richard Healey
Keyword(s):  
Quantum Theory ◽  
Quantum State ◽  
Causal Explanation ◽  
Born Rule ◽  
Correct Application

We can use quantum theory to explain an enormous variety of phenomena by showing why they were to be expected and what they depend on. These explanations of probabilistic phenomena involve applications of the Born rule: to accept quantum theory is to let relevant Born probabilities guide one’s credences about presently inaccessible events. We use quantum theory to explain a probabilistic phenomenon by showing how its probabilities follow from a correct application of the Born rule, thereby exhibiting the phenomenon’s dependence on the quantum state to be assigned in circumstances of that type. This is not a causal explanation since a probabilistic phenomenon is not constituted by events that may manifest it: but each of those events does depend causally on events that actually occur in those circumstances. Born probabilities are objective and sui generis, but not all Born probabilities are chances.

Assigning Values and States

2017 ◽  
Author(s):  
Richard Healey
Keyword(s):  
Quantum State ◽  
Density Operator ◽  
Entangled State ◽  
Physical Situation ◽  
Born Rule ◽  
Correct Assignment ◽  
Significant Magnitude ◽  
Good Advice ◽  
Empirical Significance ◽  
Important Idea

If a quantum state is prescriptive then what state should an agent assign, what expectations does this justify, and what are the grounds for those expectations? I address these questions and introduce a third important idea—decoherence. A subsystem of a system assigned an entangled state may be assigned a mixed state represented by a density operator. Quantum state assignment is an objective matter, but the correct assignment must be relativized to the physical situation of an actual or hypothetical agent for whom its prescription offers good advice, since differently situated agents have access to different information. However this situation is described, it is true, empirically significant magnitude claims that make the description correct, while others provide the objective grounds for the agent’s expectations. Quantum models of environmental decoherence certify the empirical significance of these magnitude claims while also licensing application of the Born rule to others without mentioning measurement.

Entanglement

2017 ◽  
Author(s):  
Richard Healey
Keyword(s):  
Quantum Theory ◽  
Quantum State ◽  
Physical Condition ◽  
Physical System ◽  
Polarization State ◽  
Quantum Systems ◽  
Ghz State ◽  
Mathematical Representation ◽  
Entangled State ◽  
Physical Relation

Often a pair of quantum systems may be represented mathematically (by a vector) in a way each system alone cannot: the mathematical representation of the pair is said to be non-separable: Schrödinger called this feature of quantum theory entanglement. It would reflect a physical relation between a pair of systems only if a system’s mathematical representation were to describe its physical condition. Einstein and colleagues used an entangled state to argue that its quantum state does not completely describe the physical condition of a system to which it is assigned. A single physical system may be assigned a non-separable quantum state, as may a large number of systems, including electrons, photons, and ions. The GHZ state is an example of an entangled polarization state that may be assigned to three photons.

Nonlocal effects in magnetization of high-κsuperconductors

2000 ◽  
Vol 62 (13) ◽  
pp. 9077-9082 ◽  
Author(s):  
V. G. Kogan ◽  
S. L. Bud’ko ◽  
I. R. Fisher ◽  
P. C. Canfield
Keyword(s):  
Nonlocal Effects
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