id stringlengths 9 16 | title stringlengths 4 278 | categories listlengths 1 13 | abstract stringlengths 3 4.08k | filtered_category_membership dict |
|---|---|---|---|---|
quant-ph/0605096 | Quantum Information and Entropy | [
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"cs.IT",
"math.IT"
] | Thermodynamic entropy is not an entirely satisfactory measure of information of a quantum state. This entropy for an unknown pure state is zero, although repeated measurements on copies of such a pure state do communicate information. In view of this, we propose a new measure for the informational entropy of a quantum ... | {
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quant-ph/0607111 | `Plausibilities of plausibilities': an approach through circumstances | [
"quant-ph",
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] | Probability-like parameters appearing in some statistical models, and their prior distributions, are reinterpreted through the notion of `circumstance', a term which stands for any piece of knowledge that is useful in assigning a probability and that satisfies some additional logical properties. The idea, which can be ... | {
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quant-ph/0609117 | Quantum Pattern Retrieval by Qubit Networks with Hebb Interactions | [
"quant-ph",
"cond-mat.dis-nn",
"cs.NE"
] | Qubit networks with long-range interactions inspired by the Hebb rule can be used as quantum associative memories. Starting from a uniform superposition, the unitary evolution generated by these interactions drives the network through a quantum phase transition at a critical computation time, after which ferromagnetic ... | {
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quant-ph/0609229 | Ergodic Classical-Quantum Channels: Structure and Coding Theorems | [
"quant-ph",
"cs.IT",
"math-ph",
"math.IT",
"math.MP"
] | We consider ergodic causal classical-quantum channels (cq-channels) which additionally have a decaying input memory. In the first part we develop some structural properties of ergodic cq-channels and provide equivalent conditions for ergodicity. In the second part we prove the coding theorem with weak converse for caus... | {
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quant-ph/0610153 | Subsystem Codes | [
"quant-ph",
"cs.IT",
"math.IT"
] | We investigate various aspects of operator quantum error-correcting codes or, as we prefer to call them, subsystem codes. We give various methods to derive subsystem codes from classical codes. We give a proof for the existence of subsystem codes using a counting argument similar to the quantum Gilbert-Varshamov bound.... | {
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quant-ph/0610200 | Quantum List Decoding of Classical Block Codes of Polynomially Small
Rate from Quantumly Corrupted Codewords | [
"quant-ph",
"cs.CC",
"cs.IT",
"math.IT"
] | Given a classical error-correcting block code, the task of quantum list decoding is to produce from any quantumly corrupted codeword a short list containing all messages whose codewords exhibit high "presence" in the quantumly corrupted codeword. Efficient quantum list decoders have been used to prove a quantum hardcor... | {
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quant-ph/0611167 | Continuous Variable Quantum Cryptography using Two-Way Quantum
Communication | [
"quant-ph",
"cs.CR",
"cs.IT",
"math.IT",
"physics.optics"
] | Quantum cryptography has been recently extended to continuous variable systems, e.g., the bosonic modes of the electromagnetic field. In particular, several cryptographic protocols have been proposed and experimentally implemented using bosonic modes with Gaussian statistics. Such protocols have shown the possibility o... | {
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quant-ph/0612052 | Deciding whether a quantum state has secret correlations is an
NP-complete problem | [
"quant-ph",
"cs.IT",
"math.IT"
] | From the NP-hardness of the quantum separability problem and the relation between bipartite entanglement and the secret key correlations, it is shown that the problem deciding whether a given quantum state has secret correlations in it or not is in NP-complete. | {
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quant-ph/0612155 | A father protocol for quantum broadcast channels | [
"quant-ph",
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"math.IT"
] | A new protocol for quantum broadcast channels based on the fully quantum Slepian-Wolf protocol is presented. The protocol yields an achievable rate region for entanglement-assisted transmission of quantum information through a quantum broadcast channel that can be considered the quantum analogue of Marton's region for ... | {
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quant-ph/0701020 | Quantum Quasi-Cyclic LDPC Codes | [
"quant-ph",
"cs.IT",
"math-ph",
"math.CO",
"math.IT",
"math.MP"
] | In this paper, a construction of a pair of "regular" quasi-cyclic LDPC codes as ingredient codes for a quantum error-correcting code is proposed. That is, we find quantum regular LDPC codes with various weight distributions. Furthermore our proposed codes have lots of variations for length, code rate. These codes are o... | {
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quant-ph/0701037 | Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller
Codes | [
"quant-ph",
"cs.IT",
"math.IT"
] | Convolutional stabilizer codes promise to make quantum communication more reliable with attractive online encoding and decoding algorithms. This paper introduces a new approach to convolutional stabilizer codes based on direct limit constructions. Two families of quantum convolutional codes are derived from generalized... | {
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quant-ph/0701168 | Using quantum key distribution for cryptographic purposes: a survey | [
"quant-ph",
"cs.CR",
"cs.IT",
"math.IT"
] | The appealing feature of quantum key distribution (QKD), from a cryptographic viewpoint, is the ability to prove the information-theoretic security (ITS) of the established keys. As a key establishment primitive, QKD however does not provide a standalone security service in its own: the secret keys established by QKD a... | {
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quant-ph/0702005 | A decoupling approach to the quantum capacity | [
"quant-ph",
"cs.IT",
"math.IT"
] | We give a short proof that the coherent information is an achievable rate for the transmission of quantum information through a noisy quantum channel. Our method is to produce random codes by performing a unitarily covariant projective measurement on a typical subspace of a tensor power state. We show that, provided th... | {
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quant-ph/0702072 | Markovian Entanglement Networks | [
"quant-ph",
"cs.AI"
] | Graphical models of probabilistic dependencies have been extensively investigated in the context of classical uncertainty. However, in some domains (most notably, in computational physics and quantum computing) the nature of the relevant uncertainty is non-classical, and the laws of classical probability theory are sup... | {
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quant-ph/0703112 | Graphs, Quadratic Forms, and Quantum Codes | [
"quant-ph",
"cs.IT",
"math.IT"
] | We show that any stabilizer code over a finite field is equivalent to a graphical quantum code. Furthermore we prove that a graphical quantum code over a finite field is a stabilizer code. The technique used in the proof establishes a new connection between quantum codes and quadratic forms. We provide some simple exam... | {
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quant-ph/0703113 | Quantum Convolutional BCH Codes | [
"quant-ph",
"cs.IT",
"math.IT"
] | Quantum convolutional codes can be used to protect a sequence of qubits of arbitrary length against decoherence. We introduce two new families of quantum convolutional codes. Our construction is based on an algebraic method which allows to construct classical convolutional codes from block codes, in particular BCH code... | {
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quant-ph/0703181 | Quantum Block and Convolutional Codes from Self-orthogonal Product Codes | [
"quant-ph",
"cs.IT",
"math.IT"
] | We present a construction of self-orthogonal codes using product codes. From the resulting codes, one can construct both block quantum error-correcting codes and quantum convolutional codes. We show that from the examples of convolutional codes found, we can derive ordinary quantum error-correcting codes using tail-bit... | {
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quant-ph/0703182 | Constructions of Quantum Convolutional Codes | [
"quant-ph",
"cs.IT",
"math.IT"
] | We address the problems of constructing quantum convolutional codes (QCCs) and of encoding them. The first construction is a CSS-type construction which allows us to find QCCs of rate 2/4. The second construction yields a quantum convolutional code by applying a product code construction to an arbitrary classical convo... | {
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quant-ph/9703022 | Reversibility and Adiabatic Computation: Trading Time and Space for
Energy | [
"quant-ph",
"cs.CC",
"cs.CE",
"cs.DS"
] | Future miniaturization and mobilization of computing devices requires energy parsimonious `adiabatic' computation. This is contingent on logical reversibility of computation. An example is the idea of quantum computations which are reversible except for the irreversible observation steps. We propose to study quantitati... | {
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quant-ph/9802028 | Analogue Quantum Computers for Data Analysis | [
"quant-ph",
"cs.CV"
] | Analogue computers use continuous properties of physical system for modeling. In the paper is described possibility of modeling by analogue quantum computers for some model of data analysis. It is analogue associative memory and a formal neural network. A particularity of the models is combination of continuous interna... | {
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quant-ph/9809081 | Concatenating Decoherence Free Subspaces with Quantum Error Correcting
Codes | [
"quant-ph",
"cs.IT",
"math-ph",
"math.IT",
"math.MP"
] | An operator sum representation is derived for a decoherence-free subspace (DFS) and used to (i) show that DFSs are the class of quantum error correcting codes (QECCs) with fixed, unitary recovery operators, and (ii) find explicit representations for the Kraus operators of collective decoherence. We demonstrate how this... | {
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quant-ph/9907009 | The importance of quantum decoherence in brain processes | [
"quant-ph",
"cond-mat.dis-nn",
"cs.NE",
"physics.bio-ph",
"q-bio"
] | Based on a calculation of neural decoherence rates, we argue that that the degrees of freedom of the human brain that relate to cognitive processes should be thought of as a classical rather than quantum system, i.e., that there is nothing fundamentally wrong with the current classical approach to neural network simula... | {
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