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Path Integral for Quantum Operations
, 706
"... In this paper we consider a phase space path integral for general timedependent quantum operations, not necessarily unitary. We obtain the path integral for a completely positive quantum operation satisfied Lindblad equation (quantum Markovian master equation). We consider the path integral for qua ..."
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Cited by 1 (1 self)
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In this paper we consider a phase space path integral for general timedependent quantum operations, not necessarily unitary. We obtain the path integral for a completely positive quantum operation satisfied Lindblad equation (quantum Markovian master equation). We consider the path integral
A Fast Quantum Mechanical Algorithm for Database Search
 ANNUAL ACM SYMPOSIUM ON THEORY OF COMPUTING
, 1996
"... Imagine a phone directory containing N names arranged in completely random order. In order to find someone's phone number with a probability of , any classical algorithm (whether deterministic or probabilistic)
will need to look at a minimum of names. Quantum mechanical systems can be in a supe ..."
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Cited by 1135 (10 self)
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Imagine a phone directory containing N names arranged in completely random order. In order to find someone's phone number with a probability of , any classical algorithm (whether deterministic or probabilistic)
will need to look at a minimum of names. Quantum mechanical systems can be in a
Axiomatic quantum field theory in curved spacetime
, 2008
"... The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary globa ..."
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Cited by 689 (18 self)
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globally hyperbolic curved spacetimes, it is essential that the theory be formulated in an entirely local and covariant manner, without assuming the presence of a preferred state. We propose a new framework for quantum field theory, in which the existence of an Operator Product Expansion (OPE) is elevated
COEXISTENCE OF QUANTUM OPERATIONS
, 905
"... Abstract. Quantum operations are used to describe the observed probability distributions and conditional states of the measured system. In this paper, we address the problem of their joint measurability (coexistence). We derive two equivalent coexistence criteria. The two most common classes of oper ..."
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Cited by 5 (1 self)
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Abstract. Quantum operations are used to describe the observed probability distributions and conditional states of the measured system. In this paper, we address the problem of their joint measurability (coexistence). We derive two equivalent coexistence criteria. The two most common classes
Invertible Quantum Operations and Perfect . . .
, 2006
"... In this note, we characterize the form of an invertible quantum operation, i.e., a completely positive trace preserving linear transformation (a CPTP map) whose inverse is also a CPTP map. The precise form of such maps becomes important in contexts such as selftesting and encryption. We show that t ..."
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In this note, we characterize the form of an invertible quantum operation, i.e., a completely positive trace preserving linear transformation (a CPTP map) whose inverse is also a CPTP map. The precise form of such maps becomes important in contexts such as selftesting and encryption. We show
Quantum secret sharing and quantum operations
"... In this paper, we investigate the notion of quantum secret sharing (QSS) schemes based on quantum operations. We present the information theoretical model for QSS schemes using reversible operations and erase operations at first. We show that in pure state schemes, the recoverability requirement and ..."
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In this paper, we investigate the notion of quantum secret sharing (QSS) schemes based on quantum operations. We present the information theoretical model for QSS schemes using reversible operations and erase operations at first. We show that in pure state schemes, the recoverability requirement
RadonNikodym derivatives of quantum operations
 JOURNAL OF MATHEMATICAL PHYSICS
, 2003
"... Given a completely positive (CP) map T, there is a theorem of the RadonNikodym type [W.B. Arveson, Acta Math. 123, 141 (1969); V.P. Belavkin and P. Staszewski, Rep. Math. Phys. 24, 49 (1986)] that completely characterizes all CP maps S such that T − S is also a CP map. This theorem is reviewed, and ..."
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Cited by 12 (2 self)
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, and several alternative formulations are given along the way. We then use the RadonNikodym formalism to study the structure of order intervals of quantum operations, as well as a certain onetoone correspondence between CP maps and positive operators, already fruitfully exploited in many quantum information
On the semiclassical evolution of quantum operators
, 2005
"... Abstract. The Heisenberg evolution of a given unitary operator corresponds classically to a fixed canonical transformation that is viewed through a moving coordinate system. The operators that form the bases of the Weyl representation and its Fourier transform, the chord representation, are, respect ..."
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on the space of operators of a closed quantum system. We here present the mixed semiclassical propagator, that takes translation chords to reflection centres, or vice versa. In contrast to the centrecentre propagator that directly evolves Wigner functions, it is guaranteed to be caustic free, having a simple
Results 1  10
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11,053