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8 papers · 1 filter
Quantum Stabilizer Codes and Classical Linear Codes
Richard Cleve
We show that within any quantum stabilizer code there lurks a classical binary linear code with similar error-correcting capabilities, thereby demonstrating new connections between…
Displacement-Operator Squeezed States. II. Examples of Time-Dependent Systems Having Isomorphic Symmetry Algebras
Michael Martin Nieto, D. Rodney Truax
In this article, results from the previous paper (I) are applied to calculations of squeezed states for such well-known systems as the harmonic oscillator, free particle, linear po…
Displacement-Operator Squeezed States. I. Time-Dependent Systems Having Isomorphic Symmetry Algebras
Michael Martin Nieto, D. Rodney Truax
In this paper we use the Lie algebra of space-time symmetries to construct states which are solutions to the time-dependent Schrödinger equation for systems with potentials $V(x,τ)…
Efficient Computations of Encodings for Quantum Error Correction
Richard Cleve, Daniel Gottesman
We show how, given any set of generators of the stabilizer of a quantum code, an efficient gate array that computes the codewords can be constructed. For an n-qubit code whose stab…
Teleportation as a quantum computation
Gilles Brassard
An explicit quantum circuit is given to implement quantum teleportation. This circuit makes teleportation straightforward to anyone who believes that quantum computation is a reaso…
Schumacher's quantum data compression as a quantum computation
Richard Cleve, David P. DiVincenzo
An explicit algorithm for performing Schumacher's noiseless compression of quantum bits is given. This algorithm is based on a combinatorial expression for a particular bijection a…