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Stabilizer Codes and Quantum Error Correction

- D. Gottesman
- Computer Science, Physics
- 28 May 1997

TLDR

Improved Simulation of Stabilizer Circuits

- S. Aaronson, D. Gottesman
- Physics, Computer ScienceArXiv
- 25 June 2004

TLDR

Encoding a qubit in an oscillator

- D. Gottesman, A. Kitaev, J. Preskill
- Physics
- 8 August 2000

Quantum error-correcting codes are constructed that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of a system described by continuous quantum variables. These codes… Expand

The Heisenberg Representation of Quantum Computers

- D. Gottesman
- Mathematics, Physics
- 24 June 1998

Since Shor`s discovery of an algorithm to factor numbers on a quantum computer in polynomial time, quantum computation has become a subject of immense interest. Unfortunately, one of the key features… Expand

Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations

- D. Gottesman, I. Chuang
- Computer ScienceNature
- 2 August 1999

TLDR

Security of quantum key distribution with imperfect devices

- D. Gottesman, H. Lo, N. Lütkenhaus, J. Preskill
- Computer Science, MathematicsInternational Symposium onInformation Theory…
- 11 December 2002

This paper prove the security of the Bennett-Brassard (BB84) quantum key distribution protocol in the case where the source and detector are under the limited control of an adversary. This proof… Expand

HOW TO SHARE A QUANTUM SECRET

- R. Cleve, D. Gottesman, H. Lo
- Physics
- 12 January 1999

We investigate the concept of quantum secret sharing. In a (k,thinspn) threshold scheme, a secret quantum state is divided into n shares such that any k of those shares can be used to reconstruct the… Expand

Quantum accuracy threshold for concatenated distance-3 codes

- Panos Aliferis, D. Gottesman, J. Preskill
- Mathematics, PhysicsQuantum Inf. Comput.
- 28 April 2005

TLDR

An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation

- D. Gottesman
- Mathematics, Physics
- 16 April 2009

Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum error-correcting codes has some… Expand

Theory of fault-tolerant quantum computation

- D. Gottesman
- Physics
- 12 February 1997

In order to use quantum error-correcting codes to improve the performance of a quantum computer, it is necessary to be able to perform operations fault-tolerantly on encoded states. I present a… Expand

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