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Good quantum error correcting codes exist
 REV. A
, 1996
"... A quantum errorcorrecting code is defined to be a unitary mapping (encoding) of k qubits (2state quantum systems) into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not necessarily independently, the resulting n qubits can be used ..."
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Cited by 349 (9 self)
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A quantum errorcorrecting code is defined to be a unitary mapping (encoding) of k qubits (2state quantum systems) into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not necessarily independently, the resulting n qubits can
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
Detrimental Decoherence
, 2007
"... We propose and discuss two conjectures on the nature of information leaks (decoherence) for quantum computers. These conjectures, if (or when) they hold, are damaging for quantum errorcorrection as required by faulttolerant quantum computation. The first conjecture asserts that information leaks f ..."
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Cited by 3 (1 self)
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We propose and discuss two conjectures on the nature of information leaks (decoherence) for quantum computers. These conjectures, if (or when) they hold, are damaging for quantum errorcorrection as required by faulttolerant quantum computation. The first conjecture asserts that information leaks
Multiple particle interference and quantum error correction
"... The concept of multiple particle interference is discussed, using insights provided by the classical theory of error correcting codes. This leads to a discussion of error correction in a quantum communication channel or a quantum computer. Methods of error correction in the quantum regime are presen ..."
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Cited by 171 (9 self)
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are presented, and their limitations assessed. A quantum channel can recover from arbitrary decoherence of x qubits if K bits of quantum information are encoded using n quantum bits, where K/n can be greater than 1 − 2H(2x/n), but must be less than 1 − 2H(x/n). This implies exponential reduction of decoherence
The Decoherence of Phase Space Histories
, 1994
"... In choosing a family of histories for a system, it is often convenient to choose a succession of locations in phase space, rather than configuration space, for comparison to classical histories. Although there are no good projections onto phase space, several approximate projections have been used i ..."
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in the past; three of these are examined in this paper. Expressions are derived for the probabilities of histories containing arbitrary numbers of projections into phase space, and the conditions for the decoherence of these histories are studied. Typeset using REVTEX 1 I.
Decoherence of spin echoes
, 2002
"... Abstract. We define a quantity, the socalled purity fidelity, which measures the rate of dynamical irreversibility due to decoherence, observed e.g in echo experiments, in the presence of an arbitrary small perturbation of the total (system + environment) Hamiltonian. We derive a linear response fo ..."
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Cited by 2 (1 self)
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Abstract. We define a quantity, the socalled purity fidelity, which measures the rate of dynamical irreversibility due to decoherence, observed e.g in echo experiments, in the presence of an arbitrary small perturbation of the total (system + environment) Hamiltonian. We derive a linear response
On the Classification of Decoherence Functionals
, 1996
"... The basic ingredients of the consistent histories approach to quantum mechanics are the space of histories and the space of decoherence functionals. In this work we extend the classification theorem for decoherence functionals proven by Isham, Linden and Schreckenberg to the case where the space of ..."
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The basic ingredients of the consistent histories approach to quantum mechanics are the space of histories and the space of decoherence functionals. In this work we extend the classification theorem for decoherence functionals proven by Isham, Linden and Schreckenberg to the case where the space
Decoherent histories and generalized measurements
, 2005
"... Abstract: The theory of decoherent histories allows one to talk of the behavior of quantum systems in the absence of measurement. This paper generalizes the idea of decoherent histories to arbitrary open system operations and proposes experimentally testable criteria for decoherence. The conventiona ..."
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Abstract: The theory of decoherent histories allows one to talk of the behavior of quantum systems in the absence of measurement. This paper generalizes the idea of decoherent histories to arbitrary open system operations and proposes experimentally testable criteria for decoherence
Dynamical quantum correlations of Ising models on an arbitrary lattice and their resilience to decoherence
, 2013
"... ..."
A DecoherenceFree Quantum
 Science
, 2001
"... ake up the full state space. DFSs have been shown to require an asymptotically small overhead for large systems (10) and to support universal faulttolerant quantum logic (13, 14 ). These properties suggest that DFSs will be intrinsic to future quantum computing architectures. Logic gates on DFSenc ..."
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dephasing and implement a technique for encoding an arbitrary physical qubit state into the DFS. Our physical qubits are ions confined along the axis of a miniature linear radiofrequency (RF) trap (17 ). We choose two hyperfine states, denoted 2& and 1&, as our physical qubit basis
Results 1  10
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80