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8,438
Optimal cloning of pure states
 Phys.Rev. A
, 1998
"... Abstract. We construct the unique optimal quantum device for turning a finite number of dlevel quantum systems in the same unknown pure state σ into M systems of the same kind, in an approximation of the Mfold tensor product of the state σ. ..."
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Cited by 18 (1 self)
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Abstract. We construct the unique optimal quantum device for turning a finite number of dlevel quantum systems in the same unknown pure state σ into M systems of the same kind, in an approximation of the Mfold tensor product of the state σ.
Relativity of pure states entanglement
 Ann. Phys. (N.Y
, 2002
"... Entanglement of any pure state of an N × N bipartite quantum system may be characterized by the vector of coefficients arising by its Schmidt decomposition. We analyze various measures of entanglement derived from the generalized entropies of the vector of Schmidt coefficients. For N ≥ 3 they gener ..."
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Cited by 5 (2 self)
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Entanglement of any pure state of an N × N bipartite quantum system may be characterized by the vector of coefficients arising by its Schmidt decomposition. We analyze various measures of entanglement derived from the generalized entropies of the vector of Schmidt coefficients. For N ≥ 3
CLASSICALLY NORMAL PURE STATES
, 705
"... Abstract. A pure state f of a von Neumann algebra M is called classically normal if f is normal on any von Neumann subalgebra of M on which f is multiplicative. Assuming the continuum hypothesis, a separably represented von Neumann algebra M has classically normal, singular pure states iff there is ..."
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Abstract. A pure state f of a von Neumann algebra M is called classically normal if f is normal on any von Neumann subalgebra of M on which f is multiplicative. Assuming the continuum hypothesis, a separably represented von Neumann algebra M has classically normal, singular pure states iff
On the fidelity of two pure states
, 2000
"... The fidelity of two pure states (also known as transition probability) is a symmetric function of two operators, and well–founded operationally as an event probability in a certain preparation–test pair. Motivated by the idea that the fidelity is the continuous quantum extension of the combinatorial ..."
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Cited by 1 (1 self)
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The fidelity of two pure states (also known as transition probability) is a symmetric function of two operators, and well–founded operationally as an event probability in a certain preparation–test pair. Motivated by the idea that the fidelity is the continuous quantum extension
Equilibrium Pure States and Nonequilibrium Chaos
, 1998
"... We consider nonequilibrium systems such as the EdwardsAnderson Ising spin glass at a temperature where, in equilibrium, there are presumed to be (two or many) broken symmetry pure states. Following a deep quench, we argue that as time t → ∞, although the system is usually in some pure state locally ..."
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Cited by 20 (11 self)
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We consider nonequilibrium systems such as the EdwardsAnderson Ising spin glass at a temperature where, in equilibrium, there are presumed to be (two or many) broken symmetry pure states. Following a deep quench, we argue that as time t → ∞, although the system is usually in some pure state
Measuring the entanglement of bipartite pure states
 Phys. Rev. A
, 2000
"... The problem of the experimental determination of the amount of entanglement of a bipartite pure state is addressed. We show that measuring a single observable does not suffice to determine the entanglement of a given unknown pure state of two particles. Possible minimal local measuring strategies ar ..."
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Cited by 3 (0 self)
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The problem of the experimental determination of the amount of entanglement of a bipartite pure state is addressed. We show that measuring a single observable does not suffice to determine the entanglement of a given unknown pure state of two particles. Possible minimal local measuring strategies
Orthogonal Pure States in Operator Theory
, 2003
"... Abstract: We summarize and deepen existing results on systems of orthogonal pure states in the context of JB algebras and C ∗algebras. Especially, we focus on noncommutative generalizations of some principles of topology of locally compact spaces such as exposing points by continuous functions, sep ..."
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Abstract: We summarize and deepen existing results on systems of orthogonal pure states in the context of JB algebras and C ∗algebras. Especially, we focus on noncommutative generalizations of some principles of topology of locally compact spaces such as exposing points by continuous functions
Testing for a pure state with LOCC
, 2009
"... We examine the problem of using LOCC to distinguish a known pure state from an unknown (possibly mixed) state, bounding the error probability from above and below. We study the asymptotic rate of detecting multiple copies of the pure state and show that, if the overlap of the two states is great eno ..."
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We examine the problem of using LOCC to distinguish a known pure state from an unknown (possibly mixed) state, bounding the error probability from above and below. We study the asymptotic rate of detecting multiple copies of the pure state and show that, if the overlap of the two states is great
Mbody Pure State Entanglement
, 2007
"... Abstract: The simple entanglement of Nbody Nparticle pure states is extended to the more general Mbody or Mbody Nparticle states where N ̸ = M. Some new features of the Mbody Nparticle pure states are discussed. An application of the measure to quantify quantum correlations in a BoseEinstien ..."
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Abstract: The simple entanglement of Nbody Nparticle pure states is extended to the more general Mbody or Mbody Nparticle states where N ̸ = M. Some new features of the Mbody Nparticle pure states are discussed. An application of the measure to quantify quantum correlations in a Bose
Optimal local discrimination of two multipartite pure states”, Phys. Lett. A 288 p. 62
, 2001
"... pure states ..."
Results 1  10
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8,438