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- Aram Wettroth Harrow, Avinatan Hassidim, Seth Lloyd
- Physical review letters
- 2009

Solving linear systems of equations is a common problem that arises both on its own and as a subroutine in more complex problems: given a matrix A and a vector b(-->), find a vector x(-->) such thatâ€¦ (More)

- Dorit Aharonov, Wim van Dam, Julia Kempe, Zeph Landau, Seth Lloyd, Oded Regev
- SIAM Review
- 2008

- Seth Lloyd
- Nature
- 2000

Computers are physical systems: the laws of physics dictate what they can and cannot do. In particular, the speed with which a physical device can process information is limited by its energy and theâ€¦ (More)

- Vittorio Giovannetti, Sudipto Guha, Seth Lloyd, Lorenzo Maccone, Jeffrey H. Shapiro, Horace P. Yuen
- Physical review letters
- 2004

The classical capacity of the lossy bosonic channel is calculated exactly. It is shown that its Holevo information is not superadditive, and that a coherent-state encoding achieves capacity. Theâ€¦ (More)

- Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone
- Science
- 2004

Quantum mechanics, through the Heisenberg uncertainty principle, imposes limits on the precision of measurement. Conventional measurement techniques typically fail to reach these limits. Conventionalâ€¦ (More)

- Seth Lloyd
- Physical review letters
- 2002

All physical systems register and process information. The laws of physics determine the amount of information that a physical system can register (number of bits) and the number of elementary logicâ€¦ (More)

- Seth Lloyd
- Science
- 1993

Arrays of weakly coupled quantum systems might compute if subjected to a sequence of electromagnetic pulses of well-defined frequency and length. Such pulsed arrays are true quantum computers: Bitsâ€¦ (More)

- Murray Gell-Mann, Seth Lloyd
- Complexity
- 1996

This article defines the concept of an information measure and shows how common information measures such as entropy, Shannon information, and algorithmic information content can be combined to solveâ€¦ (More)

- Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone
- Physical review letters
- 2008

A random access memory (RAM) uses n bits to randomly address N=2(n) distinct memory cells. A quantum random access memory (QRAM) uses n qubits to address any quantum superposition of N memory cells.â€¦ (More)

- Si-Hui Tan, Baris I. Erkmen, +5 authors Jeffrey H. Shapiro
- Physical review letters
- 2008

An optical transmitter irradiates a target region containing a bright thermal-noise bath in which a low-reflectivity object might be embedded. The light received from this region is used to decideâ€¦ (More)