Teleportation and measurement

Busch, Paul; Cassinelli, Gianni; Vito, Ernesto De; Lahti, Pekka; Levrero, Alberto

doi:10.1016/s0375-9601(01)00309-7

Cited by 5 publications

(3 citation statements)

References 20 publications

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“…The ambiguity of unitarity appears not only in black holes but also in quantum measurements and teleportations [23][24][25][26]. Nonlocal effects of measurements, which are exemplified by quantum teleportation and entanglement swapping protocols, appear to be at odd with information conservation.…”

Section: Introductionmentioning

confidence: 99%

Entanglement islands, fire walls and state paradox from quantum teleportation and entanglement swapping

Wang

Zhang

Wang

2023

Class. Quantum Grav.

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Recent discovery of the fine-grained entropy formula in gravity succeeded in reconstructing the Page curves that are compatible with unitary evolution. The formula of generalized entropy derived from the gravitational path integration, nevertheless, does not provide a concrete insight on how information comes out from a black hole. In this paper, we start from a qubit model and provide a quantum informational interpretation of entanglement islands. We propose an identification of entanglement islands with quantum measurements and remark on the parallel between the black hole information problem and the old problem of quantum measurements. We show that the Page curve can still be realized even if information is lost so that the information paradox can be explained as one manifestation of measurement problem. We show that such interpretation is necessary for a quantum informational model if smooth horizons and bulk reconstruction are assumed, and demonstrate explicitly that Page curves of solvable 2D gravity can be obtained through teleportation and entanglement swapping. We argue that the similarities between the black hole information problem and the measurement problem suggest links in the origins of the two problems.

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Section: Introductionmentioning

confidence: 99%

Entanglement islands, fire walls and state paradox from quantum teleportation and entanglement swapping

Wang

Zhang

Wang

2023

Class. Quantum Grav.

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“…Teleportation theorem and the phenomena of teleportation are discussed in a series of papers in a sufficiently wide context, thus relevant to the present paper (e.g Whitaker 2012;Wang, Yan 2011;Hotta 2010;Krauter, Sherson, Polzik 2010;Zak 2009;Furusawa, Takei 2007;Pati, Agrawal 2007;Xia, Song, Song 2007;Liu, Zhang, Guo 2003;Song 2003;Braunstein 2002;Busch, Cassinelli, Vito, Lahti, Levrero 2001;Duwell 2001;Janszky, Gábris, Koniorczyk, Vukics, Adam 2001;Sokolov, Kolobov, Gatti, Lugiato 2001;Stenholm 2001;Laiho, Molotkov, Nazin 2000;Żukowski 2000;Brassard, Braunstein, Cleve 1998;Horodecki, Horodecki, Horodecki 1996)…”

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confidence: 99%

Hilbert Mathematics Versus Gödel Mathematics. IV. The New Approach of Hilbert Mathematics Easily Resolving the Most Difficult Problems of Gödel Mathematics

Пенчев

2023

SSRN Journal

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“…So-called quantum teleportation requires the advanced preparation of an entangled state of distant systems (cf. Busch et al 2001 for a consistent description in quantum mechanical terms). One of its components may then later be selected by a local measurement in order to determine the state of the other (distant) system.…”

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confidence: 99%

Basic Concepts and Their Interpretation

Zeh¹

2003

Decoherence and the Appearance of a Classical World in Quantum Theory

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The superposition principle forms the most fundamental kinematical concept of quantum theory. Its universality seems to have first been postulated by Dirac as part of the definition of his "ket-vectors", which he proposed as a complete 1 and general concept to characterize quantum states regardless of any basis of representation. They were later recognized by von Neumann as forming an abstract Hilbert space. The inner product (also needed to define a Hilbert space, and formally indicated by the distinction between "bra" and "ket" vectors) is not part of the kinematics proper, but required for the probability interpretation, which may be regarded as dynamics (as will be discussed). The third Hilbert space axiom (closure with respect to Cauchy series) is merely mathematically convenient, since one can never decide empirically whether the number of linearly independent physical states is infinite in reality, or just very large.According to this kinematical superposition principle, any two physical states, |1 and |2 , whatever their meaning, can be superposed in the form c 1 |1 +c 2 |2 , with complex numbers c 1 and c 2 , to form a new physical state (to be be distinguished from a state of information). By induction, the principle can be applied to more than two, and even an infinite number, of states, and appropriately generalized to apply to a continuum of states. After postulating the linear Schrödinger equation in a general form, one may furthermore

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Teleportation and measurement

Abstract: We give a description of the teleportation of an unknown quantum state which takes into account the action of the measuring device and manifestly avoids any reference to the postulate of the state vector collapse.

Cited by 5 publications

References 20 publications

Entanglement islands, fire walls and state paradox from quantum teleportation and entanglement swapping

Entanglement islands, fire walls and state paradox from quantum teleportation and entanglement swapping

Hilbert Mathematics Versus Gödel Mathematics. IV. The New Approach of Hilbert Mathematics Easily Resolving the Most Difficult Problems of Gödel Mathematics

Basic Concepts and Their Interpretation

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