2010
DOI: 10.1088/0253-6102/54/2/31
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Properties of Parity Non-conserved and Parity Conserved States in Matrix Product Systems

Abstract: In terms of reflection transformation of a matrix product state (MPS), the parity of the MPS is defined. Based on the reflective parity non-conserved MPS pair we construct the even-parity state |Φe⟩ and the odd-parity state |Φo⟩. It is interesting to find that the parity non-conserved reflective MPS pair have no long-range correlations; instead the even-parity state |Φe⟩ and the odd-parity state |Φo⟩ constructed from them have the same long-range correlations for the parity non-conserved block operators. Moreo… Show more

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Cited by 11 publications
(3 citation statements)
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“…About measures of entanglement there are many kinds of methods, such as the quantification characteristic function of quantum nonlocality [16], Bell inequality [17,18], quantum discord [19], averaged entropy [20] and so on. Considering our system, we shall adopt the von Neumann entropy which [21][22][23][24][25][26][27][28] according to bipartition parameterization by the adjacent spin number n of a B n spin block is,…”
Section: The Entanglement Propertymentioning
confidence: 99%
“…About measures of entanglement there are many kinds of methods, such as the quantification characteristic function of quantum nonlocality [16], Bell inequality [17,18], quantum discord [19], averaged entropy [20] and so on. Considering our system, we shall adopt the von Neumann entropy which [21][22][23][24][25][26][27][28] according to bipartition parameterization by the adjacent spin number n of a B n spin block is,…”
Section: The Entanglement Propertymentioning
confidence: 99%
“…There are many kinds of methods to measure entanglement, such as the quantification characteristic function of quantum nonlocality [18], Bell inequality [19,20], quantum discord [21], averaged entropy [22] and so on. For our system, we shall adopt the von Neumann entropy which [23][24][25][26][27][28][29][30] according to the bipartition parameterization by the adjacent spin number n of a B n spin block is,…”
Section: The Entanglement Propertymentioning
confidence: 99%
“…the upper limit value 2 from 1.58496 as n increases from 1, which is consistent with the result from the above section about the entanglement entropy S fp of the fixed point. The different entanglement entropy S n of a spin block as a function of its size n, is responsible for different MPS entanglement, which accounts for the different collective quantum phenomena and quantum-phase transition phenomena at the same time, in the fields of condensed matter [19][20][21][22][23][24].…”
Section: Here We Consider the Mps |ψ With Representation Matricesmentioning
confidence: 99%