Interacting Quantum Observables: Categorical Algebra and
... finite dimensional Hilbert space arises as pair of copying and erasing operations for some orthonormal basis [27, 28]. Since these algebras correspond precisely to nondegenerate quantum observables, we refer to them as observable structures. Observable structures (δ, ) and (δ 0 , 0 ) which corresp ...
... finite dimensional Hilbert space arises as pair of copying and erasing operations for some orthonormal basis [27, 28]. Since these algebras correspond precisely to nondegenerate quantum observables, we refer to them as observable structures. Observable structures (δ, ) and (δ 0 , 0 ) which corresp ...
UNRAVELING OPEN QUANTUM SYSTEMS: CLASSICAL
... Quantum Stochastic Flows and Semigroups extend classical Stochastic Analysis beyond commutativity. This extension is not only an abstract mathematical construction but it is deeply inspired from the theory of Open Quantum Systems in Physics. As a result, subtle questions about time scales and renorm ...
... Quantum Stochastic Flows and Semigroups extend classical Stochastic Analysis beyond commutativity. This extension is not only an abstract mathematical construction but it is deeply inspired from the theory of Open Quantum Systems in Physics. As a result, subtle questions about time scales and renorm ...
Necessary and Sufficient Quantum Information Characterization of
... sound ground in Refs. [4,5]. Not all entangled states are steerable, and not all steerable states exhibit nonlocality [4,5], but states that exhibit steering allow for the verification of their entanglement in a semi-device-independent way: there is no need to trust the devices used by the steering ...
... sound ground in Refs. [4,5]. Not all entangled states are steerable, and not all steerable states exhibit nonlocality [4,5], but states that exhibit steering allow for the verification of their entanglement in a semi-device-independent way: there is no need to trust the devices used by the steering ...
Holographic Quantum Error Correcting Codes - Adrian Franco
... The fact that we are considering orthonormal bases goes a little bit further than just mere computational convenience: in quantum mechanics, states which are proportional to each other are considered to be indistinguishable from a physical point of view. In more precise words, the space of different ...
... The fact that we are considering orthonormal bases goes a little bit further than just mere computational convenience: in quantum mechanics, states which are proportional to each other are considered to be indistinguishable from a physical point of view. In more precise words, the space of different ...
Quantum Theory and the Brain - Biological and Soft Systems
... possibly all, and certainly most, forms of matter. For over sixty years, its domain of application has been steadily extended. Yet the theory remains somewhat mysterious. At some initial time, one can assign to a given physical object, for example, an electron or a cricket ball, an appropriate quant ...
... possibly all, and certainly most, forms of matter. For over sixty years, its domain of application has been steadily extended. Yet the theory remains somewhat mysterious. At some initial time, one can assign to a given physical object, for example, an electron or a cricket ball, an appropriate quant ...
Weyl--Heisenberg Representations in Communication Theory
... invariant channels has shown that a diagonalization of the channel operators is an essential prerequisite to allowing an information–theoretical treatment of communication and reveals finally as the reason for the practical implementation as technology. However, an extension of this principle to tim ...
... invariant channels has shown that a diagonalization of the channel operators is an essential prerequisite to allowing an information–theoretical treatment of communication and reveals finally as the reason for the practical implementation as technology. However, an extension of this principle to tim ...
Precisely Timing Dissipative Quantum Information
... is independent of the system size. This amounts to local interactions and local heat baths. From this point on, we will not invoke the heat baths explicitly but assume that all of the Lindblad operators are derived from the interaction with the environment. The initialization gadget.—For initializat ...
... is independent of the system size. This amounts to local interactions and local heat baths. From this point on, we will not invoke the heat baths explicitly but assume that all of the Lindblad operators are derived from the interaction with the environment. The initialization gadget.—For initializat ...
Dynamical Aspects of Information Storage in Quantum
... reliable discrimination between any two density operators with nonorthogonal supports), (b) practical constraints imposed by the specific experimental setting (e.g., impossibility of synthesizing any quantum state or any quantum operation with arbitrary precision), and (c) environment-induced noise. ...
... reliable discrimination between any two density operators with nonorthogonal supports), (b) practical constraints imposed by the specific experimental setting (e.g., impossibility of synthesizing any quantum state or any quantum operation with arbitrary precision), and (c) environment-induced noise. ...
BLIND QUANTUM COMPUTATION 1. Introduction and Background
... In analyzing quantum authentication schemes, they also recognized that if Alice has n qubits in state ρ, applies random Pauli operators Pn to each qubit, and then sends the qubits to Bob, Bob can only observe a maximally mixed state, since he has no knowledge of which Pauli operators have been appli ...
... In analyzing quantum authentication schemes, they also recognized that if Alice has n qubits in state ρ, applies random Pauli operators Pn to each qubit, and then sends the qubits to Bob, Bob can only observe a maximally mixed state, since he has no knowledge of which Pauli operators have been appli ...
Quantum error correction
... how information can be carried by quantum states, and how interaction with other systems give rise to a full set of quantum phenomena, many of which have no correspondence in classical information theory. These phenomena include decoherence, as a consequence of entanglement. Decoherence can also be ...
... how information can be carried by quantum states, and how interaction with other systems give rise to a full set of quantum phenomena, many of which have no correspondence in classical information theory. These phenomena include decoherence, as a consequence of entanglement. Decoherence can also be ...
Quantum information or quantum coding? - Philsci
... ‘transposition’, and describes it in the following terms: “We can therefore imagine a communication scheme based upon transposition. At the coding end, the signal of a source system M is transposed via the unitary evolution U into the coding system X. The system X is conveyed from the transmitter to ...
... ‘transposition’, and describes it in the following terms: “We can therefore imagine a communication scheme based upon transposition. At the coding end, the signal of a source system M is transposed via the unitary evolution U into the coding system X. The system X is conveyed from the transmitter to ...
Microsoft Word - ANL_form6
... On the basis of the multipartite teleportation we will elaborate a quantum communication technology capable to transmit an unlimited amount of information through noisy channels. Note, that a long-distance quantum communication channel of high capacity enables us to solve several problems of practic ...
... On the basis of the multipartite teleportation we will elaborate a quantum communication technology capable to transmit an unlimited amount of information through noisy channels. Note, that a long-distance quantum communication channel of high capacity enables us to solve several problems of practic ...
POISSON BOUNDARIES OVER LOCALLY COMPACT
... of a Markov operator on the dual quantum group, with one of the Podleś spheres [33]. Later this result was generalized to the case of SUq (n) by Izumi, Neshveyev and Tuset [21]. Poisson boundaries for other discrete quantum groups have been studied by Vaes, Vander Vennet and Vergnioux [37], [38], [ ...
... of a Markov operator on the dual quantum group, with one of the Podleś spheres [33]. Later this result was generalized to the case of SUq (n) by Izumi, Neshveyev and Tuset [21]. Poisson boundaries for other discrete quantum groups have been studied by Vaes, Vander Vennet and Vergnioux [37], [38], [ ...
