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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.
Loopy belief propagation for approximate inference: An empirical study. In:
 Proceedings of Uncertainty in AI,
, 1999
"... Abstract Recently, researchers have demonstrated that "loopy belief propagation" the use of Pearl's polytree algorithm in a Bayesian network with loops can perform well in the context of errorcorrecting codes. The most dramatic instance of this is the near Shannonlimit performanc ..."
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Cited by 676 (15 self)
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. Introduction The task of calculating posterior marginals on nodes in an arbitrary Bayesian network is known to be NP hard In this paper we investigate the approximation performance of "loopy belief propagation". This refers to using the wellknown Pearl polytree algorithm [12] on a Bayesian network
Entanglement of Formation of an Arbitrary State of Two Qubits
, 1998
"... The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state ρ is defined as the minimum average entanglement of a set of pure states constituting a decomposition of ρ. An earlier paper [Phys. Rev ..."
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Cited by 200 (0 self)
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. Rev. Lett. 78, 5022 (1997)] conjectured an explicit formula for the entanglement of formation of a pair of binary quantum objects (qubits) as a function of their density matrix, and proved the formula to be true for a special class of mixed states. The present paper extends the proof to arbitrary
c © Rinton Press MEASUREMENTINDUCED NONLOCALITY FOR AN ARBITRARY BIPARTITE STATE
, 2011
"... Measurementinduced nonlocality is a measure of nonlocalty introduced by Luo and Fu [Phys. Rev. Lett 106, 120401 (2011)]. In this paper, we study the problem of evaluation of Measurementinduced nonlocality (MIN) for an arbitrary m×n dimensional bipartite density matrix ρ for the case where one of i ..."
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Measurementinduced nonlocality is a measure of nonlocalty introduced by Luo and Fu [Phys. Rev. Lett 106, 120401 (2011)]. In this paper, we study the problem of evaluation of Measurementinduced nonlocality (MIN) for an arbitrary m×n dimensional bipartite density matrix ρ for the case where one
Quantum Separability Criteria for Arbitrary Dimensional Multipartite States Quantum Separability Criteria for Arbitrary Dimensional Multipartite States
"... Abstract We present new separability criteria for both bipartite and multipartite quantum states. These criteria include the criteria based on the correlation matrix and its generalized form as special cases. We show by detailed examples that our criteria are more powerful than the positive partial ..."
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Abstract We present new separability criteria for both bipartite and multipartite quantum states. These criteria include the criteria based on the correlation matrix and its generalized form as special cases. We show by detailed examples that our criteria are more powerful than the positive
Mixed state entanglement and quantum error correction
 Phys. Rev., A
, 1996
"... Entanglement purification protocols (EPP) and quantum errorcorrecting codes (QECC) provide two ways of protecting quantum states from interaction with the environment. In an EPP, perfectly entangled pure states are extracted, with some yield D, from a bipartite mixed state M; with a QECC, an arbitra ..."
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Cited by 185 (7 self)
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Entanglement purification protocols (EPP) and quantum errorcorrecting codes (QECC) provide two ways of protecting quantum states from interaction with the environment. In an EPP, perfectly entangled pure states are extracted, with some yield D, from a bipartite mixed state M; with a QECC
Parametric Hidden Markov Models for Gesture Recognition
 IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
, 1999
"... A new method for the representation, recognition, and interpretation of parameterized gesture is presented. By parameterized gesture we mean gestures that exhibit a systematic spatial variation; one example is a point gesture where the relevant parameter is the twodimensional direction. Our approa ..."
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Cited by 208 (3 self)
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A new method for the representation, recognition, and interpretation of parameterized gesture is presented. By parameterized gesture we mean gestures that exhibit a systematic spatial variation; one example is a point gesture where the relevant parameter is the twodimensional direction. Our
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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of classical state spaces, one copy for each orthonormal frame. We exploit this connection to study the relative volume of separable states of a quantum bipartite system. While the twoqubit case is analysed in considerable detail, for higher dimensional systems we fall back on Monte Carlo.
Learning attractor landscapes for learning motor primitives
 in Advances in Neural Information Processing Systems
, 2003
"... Many control problems take place in continuous stateaction spaces, e.g., as in manipulator robotics, where the control objective is often defined as finding a desired trajectory that reaches a particular goal state. While reinforcement learning offers a theoretical framework to learn such control p ..."
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Cited by 195 (28 self)
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policies from scratch, its applicability to higher dimensional continuous stateaction spaces remains rather limited to date. Instead of learning from scratch, in this paper we suggest to learn a desired complex control policy by transforming an existing simple canonical control policy. For this purpose
Results 1  10
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