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On local invariants of pure threequbit states
 J. Phys. A34
"... We study invariants of threequbit states under local unitary transformations, i.e. functions on the space of entanglement types, which is known to have dimension 6. We show that there is no set of six independent polynomial invariants of degree ≤ 6, and find such a set with maximum degree 8. We des ..."
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Cited by 21 (1 self)
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We study invariants of threequbit states under local unitary transformations, i.e. functions on the space of entanglement types, which is known to have dimension 6. We show that there is no set of six independent polynomial invariants of degree ≤ 6, and find such a set with maximum degree 8. We
Invariants for a Class of Nongeneric Threequbit States
, 2006
"... We investigate the equivalence of quantum states under local unitary transformations. A complete set of invariants under local unitary transformations is presented for a class of nongeneric threequbit mixed states. It is shown that two such states in this class are locally equivalent if and only i ..."
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We investigate the equivalence of quantum states under local unitary transformations. A complete set of invariants under local unitary transformations is presented for a class of nongeneric threequbit mixed states. It is shown that two such states in this class are locally equivalent if and only
ii Geometric local invariant and pure threequbit states
"... To my family and grandfather List of papers This thesis is based on the following papers, which are referred to in the text by their Roman numerals. I Correlationinduced nonAbelian quantum holonomies ..."
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Cited by 1 (0 self)
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To my family and grandfather List of papers This thesis is based on the following papers, which are referred to in the text by their Roman numerals. I Correlationinduced nonAbelian quantum holonomies
Å Ü¹ÈÐ Ò ¹ÁÒ×Ø ØÙØ für Mathematik in den Naturwissenschaften Leipzig Invariants for a Class of Nongeneric Threequbit States
, 2006
"... ..."
Parametrization and Distillability of ThreeQubit Entanglement
"... There is an ongoing effort to quantify entanglement of quantum pure states for systems with more than two subsystems. In this paper, we consider three general approaches to this problem for threequbit states: choosing a basis which puts the state into a standard form, enumerating “local invariants” ..."
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Cited by 2 (0 self)
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There is an ongoing effort to quantify entanglement of quantum pure states for systems with more than two subsystems. In this paper, we consider three general approaches to this problem for threequbit states: choosing a basis which puts the state into a standard form, enumerating “local invariants
A classification of entanglement in threequbit systems
, 707
"... We present a classification of threequbit states based in their threequbit and reduced twoqubit entanglements. For pure states these criteria can be easily implemented, and the different types can be related with sets of equivalence classes under Local Unitary operations. For mixed states charact ..."
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Cited by 2 (0 self)
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We present a classification of threequbit states based in their threequbit and reduced twoqubit entanglements. For pure states these criteria can be easily implemented, and the different types can be related with sets of equivalence classes under Local Unitary operations. For mixed states
Classification and measure of entanglement in threequbit systems
, 707
"... We present a classification of threequbit states based in their threequbit and reduced twoqubit entanglements. For pure states these criteria can be easily implemented, and the different types can be related with sets of equivalence classes under Local Unitary operations. For mixed states charact ..."
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We present a classification of threequbit states based in their threequbit and reduced twoqubit entanglements. For pure states these criteria can be easily implemented, and the different types can be related with sets of equivalence classes under Local Unitary operations. For mixed states
Identification of threequbit entanglement Identification of threequbit entanglement
"... We present a way in identifying all kinds of entanglement for threequbit pure states in terms of the expectation values of Pauli operators. The necessary and sufficient conditions to classify the fully separable, biseparable and genuine entangled states are explicitly given. The approach can be ge ..."
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We present a way in identifying all kinds of entanglement for threequbit pure states in terms of the expectation values of Pauli operators. The necessary and sufficient conditions to classify the fully separable, biseparable and genuine entangled states are explicitly given. The approach can
Generalized controlled phase QGE
, 909
"... We construct a generalized controlled phased gate entangler for a multiqubit state based on the geometrical structure of quantum systems. We also investigate relation between the generalized controlled phase construction of a quantum gate entangler and graph state for twoqubit and threequbit stat ..."
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We construct a generalized controlled phased gate entangler for a multiqubit state based on the geometrical structure of quantum systems. We also investigate relation between the generalized controlled phase construction of a quantum gate entangler and graph state for twoqubit and threequbit
On the Symplectic Reduced Space of ThreeQubit Pure States *
, 2014
"... ABSTRACT Given a specific spectra of singleparticle reduced density matrices of three qubits, the singular symplectic reduction method is applied to the projective Hilbert space of tripartite pure states, under the local unitary group action. The symplectic structure on the principal stratum of th ..."
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ABSTRACT Given a specific spectra of singleparticle reduced density matrices of three qubits, the singular symplectic reduction method is applied to the projective Hilbert space of tripartite pure states, under the local unitary group action. The symplectic structure on the principal stratum
Results 1  10
of
202