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755
On the Volume of Separable Bipartite States
"... Abstract. Every choice of orthonormal frame in the Hilbert space of a bipartite system corresponds to one set of all mutually commuting density matrices or, equivalently, to the classical state space of the system; the quantum state space itself can thus be profitably viewed as an orbit of classical ..."
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Abstract. Every choice of orthonormal frame in the Hilbert space of a bipartite system corresponds to one set of all mutually commuting density matrices or, equivalently, to the classical state space of the system; the quantum state space itself can thus be profitably viewed as an orbit
Threshold bounds for noisy bipartite states
, 2006
"... For a nonseparable bipartite quantum state violating the ClauserHorneShimonyHolt (CHSH) inequality, we evaluate amounts of noise breaking the quantum character of its statistical correlations under any generalized quantum measurements of Alice and Bob. Expressed in terms of the reduced states, th ..."
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For a nonseparable bipartite quantum state violating the ClauserHorneShimonyHolt (CHSH) inequality, we evaluate amounts of noise breaking the quantum character of its statistical correlations under any generalized quantum measurements of Alice and Bob. Expressed in terms of the reduced states
Some bipartite states do not arise from channels
, 2008
"... It is wellknown that action of a quantum channel on a state can be represented, using an auxiliary space, as the partial trace of an associated bipartite state. Recently, it was observed that for the bipartite state associated with the optimal average input of the channel, the entanglement of forma ..."
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Cited by 2 (0 self)
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It is wellknown that action of a quantum channel on a state can be represented, using an auxiliary space, as the partial trace of an associated bipartite state. Recently, it was observed that for the bipartite state associated with the optimal average input of the channel, the entanglement
Bipartite states of low rank are almost surely entangled
 J. Phys. A
"... We show that a bipartite state on a tensor product of two matrix algebras is almost surely entangled if its rank is not greater than that of one of its reduced density matrices. ..."
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Cited by 6 (0 self)
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We show that a bipartite state on a tensor product of two matrix algebras is almost surely entangled if its rank is not greater than that of one of its reduced density matrices.
HOMODYNE CHARACTERIZATION OF CONTINUOUS VARIABLE BIPARTITE STATES
, 2007
"... We suggest a scheme to reconstruct the covariance matrix of continuous variable twomode states using a single homodyne detector and a few polarization elements. Our method can be used to fully characterize the bipartite Gaussian entangled states obtained at the output of a (nondegenerate) optical p ..."
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We suggest a scheme to reconstruct the covariance matrix of continuous variable twomode states using a single homodyne detector and a few polarization elements. Our method can be used to fully characterize the bipartite Gaussian entangled states obtained at the output of a (nondegenerate) optical
A Note on Equivalence of Bipartite States under Local Unitary Transformations
, 2006
"... The equivalence of arbitrary dimensional bipartite states under local unitary transformations (LUT) is studied. A set of invariants and ancillary invariants under LUT is presented. We show that two states are equivalent under LUT if and only if they have the same values for all of these invariants. ..."
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The equivalence of arbitrary dimensional bipartite states under local unitary transformations (LUT) is studied. A set of invariants and ancillary invariants under LUT is presented. We show that two states are equivalent under LUT if and only if they have the same values for all of these invariants.
A Note on Equivalence of Bipartite States under Local Unitary Transformations
, 2005
"... The equivalence of arbitrary dimensional bipartite states under local unitary transformations (LUT) is studied. A set of invariants and ancillary invariants under LUT is presented. We show that two states are equivalent under LUT if and only if they have the same values for all of these invariants. ..."
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The equivalence of arbitrary dimensional bipartite states under local unitary transformations (LUT) is studied. A set of invariants and ancillary invariants under LUT is presented. We show that two states are equivalent under LUT if and only if they have the same values for all of these invariants.
Relative information encoded in the degree of entanglement to discriminate bipartite states
, 2008
"... It has been recently shown (Bartlett et al. 2003) that information encoded into relative degrees of freedom enables communication without a common reference frame using entangled bipartite states. In this case the relative information stored in the twoqubit system is shared between the polarization ..."
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It has been recently shown (Bartlett et al. 2003) that information encoded into relative degrees of freedom enables communication without a common reference frame using entangled bipartite states. In this case the relative information stored in the twoqubit system is shared between
Results 1  10
of
755