scholarly journals Entanglement criterion via general symmetric informationally complete measurement

2021 ◽  
Author(s):  
Jun Li ◽  
Lin Chen
Keyword(s):  
White Noise ◽  
Bell States ◽  
Entangled States ◽  
Complete Measurement ◽  
Multipartite States ◽  
Entanglement Criterion

Abstract We propose entanglement criteria for multipartite systems via symmetric informationally complete (SIC) measurement and general symmetric informationally complete (GSIC) measurement. We apply these criteria to detect entanglement of multipartite states, such as the convex of Bell states, entangled states mixed with white noise. It is shown that these criteria are stronger than some existing ones.

Entanglement criteria for the three-qubit states

2017 ◽  
Vol 15 (07) ◽  
pp. 1750049 ◽  
Author(s):  
Y. Akbari-Kourbolagh
Keyword(s):  
White Noise ◽  
Tensor Products ◽  
W State ◽  
Entangled States ◽  
Mean Values ◽  
W States ◽  
Pauli Matrices ◽  
The Mean ◽  
Simple Sets ◽  
Qubit States

We present sufficient criteria for the entanglement of three-qubit states. For some special families of states, the criteria are also necessary for the entanglement. They are formulated as simple sets of inequalities for the mean values of certain observables defined as tensor products of Pauli matrices. The criteria are good indicators of the entanglement in the vicinity of three-qubit GHZ and W states and enjoy the capability of detecting the entangled states with positive partial transpositions. Furthermore, they improve the best known result for the case of W state mixed with the white noise. The efficiency of the criteria is illustrated through several examples.

Gaussian (N, z)-generalized Yang-Baxter operators

2016 ◽  
pp. 105-114
Author(s):  
Eric Rowell
Keyword(s):  
Bell States ◽  
Entangled States ◽  
Unitary Matrix ◽  
Baxter Equation ◽  
Careful Study ◽  
Standard Measurement ◽  
Measurement Basis ◽  
Parameter Dependent

We find unitary matrix solutions R˜(a) to the (multiplicative parameter-dependent) (N, z)-generalized Yang-Baxter equation that carry the standard measurement basis to m-level N-partite entangled states that generalize the 2-level bipartite entangled Bell states. This is achieved by a careful study of solutions to the Yang-Baxter equation discovered by Fateev and Zamolodchikov in 1982.

Preparation of bell states with controlled "white noise"

2005 ◽  
Author(s):  
E.J. Ling ◽  
Y.H. Peng ◽  
A. Lamas ◽  
C. Kurtsiefer
Keyword(s):  
White Noise ◽  
Bell States

Bell’s inequalities for three-qubit entangled states with white noise

2009 ◽  
Vol 41 (3) ◽  
pp. 1201-1207 ◽  
Author(s):  
Jinho Chang ◽  
Younghun Kwon
Keyword(s):  
White Noise ◽  
Entangled States ◽  
Bell’S Inequalities ◽  
Bell's Inequalities

Local invariants for multi-partite entangled states allowing for a simple entanglement criterion

2004 ◽  
Vol 4 (5) ◽  
pp. 383-395
Author(s):  
H. Aschauer ◽  
J. Calsamiglia ◽  
M. Hein ◽  
H.J. Briegel
Keyword(s):  
Physical Meaning ◽  
Entangled States ◽  
Mixed States ◽  
Polynomial Invariants ◽  
Partial Transposition ◽  
Straightforward Generalization ◽  
Local Invariants ◽  
Complete Set ◽  
New Criterion ◽  
Entanglement Criterion

We present local invariants of multi-partite pure or mixed states, which can be easily calculated and have a straight-forward physical meaning. As an application, we derive a new entanglement criterion for arbitrary mixed states of $n$ parties. The new criterion is weaker than the partial transposition criterion but offers advantages for the study of multipartite systems. A straightforward generalization of these invariants allows for the construction of a complete set of observable polynomial invariants.

Robustness of multipartite entangled states for fermionic systems under noisy channels in non-inertial frames

2021 ◽  
Author(s):  
Kwang-Il Kim ◽  
Myong Chol Pak ◽  
Tae-Hyok Kim ◽  
Jong Chol Kim ◽  
Yong-Hae Ko ◽  
...  
Keyword(s):  
Bell States ◽  
Entangled States ◽  
Tripartite Entanglement ◽  
Noisy Channels ◽  
Ghz States ◽  
Phase Damping ◽  
Inertial Frames ◽  
Fermionic Systems ◽  
The Difference ◽  
Bit Flip

Abstract We investigate robustness of bipartite and tripartite entangled states for fermionic systems in non-inertial frames, which are under noisy channels. We consider two Bell states and two Greenberger-Horne-Zeilinger (GHZ) states, which possess initially the same amount of entanglement, respectively. By using genuine multipartite (GM) concurrence, we analytically derive the equations that determine the difference between the robustness of these locally unitarily equivalent states under the amplitude-damping channel. We find that tendency of the robustness for two GHZ states evaluated by using three-tangle τ and GM concurrence as measures of genuine tripartite entanglement is equal to each other. We also find that the robustness of two Bell states is equal to each other under the depolarizing, phase damping and bit flip channels, and that the same is true for two GHZ states.

scholarly journals NOISE INDUCED ENTANGLEMENT

2005 ◽  
Vol 03 (02) ◽  
pp. 425-433 ◽  
Author(s):  
J. CHEN ◽  
X. X. YI ◽  
H. S. SONG ◽  
L. ZHOU
Keyword(s):  
White Noise ◽  
Ground State ◽  
Noise Intensity ◽  
Monotonic Function ◽  
Entangled States ◽  
The Third ◽  
To Come

We show that two two-level atoms coupled simultaneously with a third dissipated atom would end up with entangled states. The dissipation of the third atom is supposed to come from its coupling to noises with adjustable intensity. Two kinds of noise, white noise and squeezing white noise, are identified to possess the ability to help preparation of entanglement. We confirm that the entanglement is maximized for intermediate values of the noise intensity with all atoms in the ground state, while it is a monotonic function of the spontaneous rates.

Entangled states implemented by Bn group operators, including properties based on HS decompositions, separability and concurrence

2015 ◽  
Vol 13 (01) ◽  
pp. 1450045 ◽  
Author(s):  
Y. Ben-Aryeh
Keyword(s):  
Bell States ◽  
Entangled States ◽  
Mixed States ◽  
Large N ◽  
Classical Correlations ◽  
Computational Basis

The use of the Bn group operators is developed for implementing entangling processes for large n-qubits systems (n > 2). By operating with the Bn group operators on the computational basis of states, entangled states are obtained with properties analogous to those of the 2-qubits Bell states. Tracing any qubit from the 3-qubits Bn entangled states, we get mixed states which are separable with zero concurrence, and correspondingly with only classical correlations. These properties are generalized to larger Bn entangled states (n > 3). The properties of the Bn entangled states are analyzed by the use of Hilbert–Schmidt (HS) decompositions.

scholarly journals Freezing dynamics of genuine entanglement and loss of genuine nonlocality under collective dephasing

2017 ◽  
Vol 15 (03) ◽  
pp. 1750022 ◽  
Author(s):  
Mazhar Ali
Keyword(s):  
White Noise ◽  
Finite Time ◽  
Quantum Systems ◽  
Quantum States ◽  
Entangled States ◽  
Multipartite Entanglement ◽  
Random States ◽  
Genuine Multipartite Entanglement

We study the dynamics of genuine multipartite entanglement for quantum systems upto four qubits interacting with general collective dephasing process. Using a computable entanglement monotone for multipartite systems, we observe the feature of freezing dynamics of genuine entanglement for three and four qubits entangled states. We compare the dynamics with that of random states and find that most states exibit this feature. We then study the effects of collective dephasing on genuine nonlocality and find out that although quantum states remain genuinely entangled yet their genuine nonlocality is lost in a finite time. We show the sensitivity of asymptotic states being genuinely entangled by mixing white noise.

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