It has been show by E.Knill (quant-ph/9610011) and D.Aharonov (quant-ph/9611025) that once elementary unitary operations ("gates") in a quantum computer can be carried out with more than some threshold accuracy, then it is possible to carry out arbitrary precision operations on suitably encoded "computational" qubits. In this paper I will take a more practical, engineer-like point of view. I will follow P.Shor (quant-ph/9605011) for fault tolerant error correction (FTEC) and the fault tolerant implementation of elementary operations on states encoded by the 7-bit code. I will use (and try to justify) the most simple and natural error model. Computer simulation of an optimized version of Shors techniques gives an (astonishingly high) thresho...
The new eld of quantum error correction has developed spectacularly since its origin less than two y...
Quantum computing - the processing of information according to the fundamental laws of physics - off...
In the past year many developments have taken place in the area of quantum error corrections. Recent...
Quantum error correction and fault-tolerant quantum computation are two fundamental concepts which m...
The discovery of quantum error correction has greatly improved the long-term prospects for quantum c...
Recently Shor showed how to perform fault tolerant quantum computation when the error probability is...
Based on a talk given at the Future Trends in Microelectronics workshop, Crete, June 2006. 8 pages, ...
The error correcting capabilities of the Calderbank-Shor-Steane [[7,1,3]] quantum code, together wit...
This thesis is concerned with certain theoretical problems that arise naturally in the context of fa...
Quantum error correction is the backbone of fault-tolerant quantum computation, a necessary requirem...
I give a brief overview of fault-tolerant quantum computation, with an emphasis on recent work and o...
The goal of this paper is to review the theoretical basis for achieving a faithful quantum informati...
A major hurdle in building a quantum computer is overcoming noise, since quantum superpositions are ...
A major hurdle in building a quantum computer is overcoming noise, since quantum superpositions are ...
Quantum computers can be protected from noise by encoding the logical quantum information redundantl...
The new eld of quantum error correction has developed spectacularly since its origin less than two y...
Quantum computing - the processing of information according to the fundamental laws of physics - off...
In the past year many developments have taken place in the area of quantum error corrections. Recent...
Quantum error correction and fault-tolerant quantum computation are two fundamental concepts which m...
The discovery of quantum error correction has greatly improved the long-term prospects for quantum c...
Recently Shor showed how to perform fault tolerant quantum computation when the error probability is...
Based on a talk given at the Future Trends in Microelectronics workshop, Crete, June 2006. 8 pages, ...
The error correcting capabilities of the Calderbank-Shor-Steane [[7,1,3]] quantum code, together wit...
This thesis is concerned with certain theoretical problems that arise naturally in the context of fa...
Quantum error correction is the backbone of fault-tolerant quantum computation, a necessary requirem...
I give a brief overview of fault-tolerant quantum computation, with an emphasis on recent work and o...
The goal of this paper is to review the theoretical basis for achieving a faithful quantum informati...
A major hurdle in building a quantum computer is overcoming noise, since quantum superpositions are ...
A major hurdle in building a quantum computer is overcoming noise, since quantum superpositions are ...
Quantum computers can be protected from noise by encoding the logical quantum information redundantl...
The new eld of quantum error correction has developed spectacularly since its origin less than two y...
Quantum computing - the processing of information according to the fundamental laws of physics - off...
In the past year many developments have taken place in the area of quantum error corrections. Recent...