Add to ORKGThis is a Part III essay aiming to discuss the contruction of quantum error-correcting codes through the use of the theory of algebraic function fields, which produces codes with asymptotically good parameters. This exposition emphasises constructibility and several applications of the main theorem (theorem 6.2) are given. Prerequisites are the first 12 lectures of the Part III course Quantum Information Theory [16] or chapter 7 of Preskill’s Lecture Notes [15], and the first two chapters of Stichtenoth’s Algebrai
AbstractWe give a new exposition and proof of a generalized CSS construction for nonbinary quantum e...
The problem of finding quantum-error-correcting codes is transformed into the problem of finding add...
2016-12-05Quantum computer is susceptible to decoherence. Therefore, quantum error correction is imp...
This chapter discusses quantum error-correcting codes constructed from algebraic curves. We give an ...
This text presents an algebraic approach to the construction of several important families of quantu...
It is known that quantum error correction can be achieved using classical binary codes or additive c...
We present a universal framework for quantum error-correcting codes, i.e., a framework that applies ...
Abstract-This paper describes a common mathematical framework for the design of additive and non-add...
A systematic and exhaustive method based on the group structure of a unitary Lie algebra is proposed...
This work has reached several results. The first is, that it was possible to find a new, algebraic f...
Quantum mechanics is the physics of the very small. Quantum computers are devices that utilize the p...
© 2006 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for a...
The stabilizer method for constructing a class of asymmetric quantum codes (AQC), called additive AQ...
The problem of finding quantum-error-correcting codes is transformed into the problem of finding add...
This work has reached several results. The first is, that it was possible to find a new, algebraic f...
AbstractWe give a new exposition and proof of a generalized CSS construction for nonbinary quantum e...
The problem of finding quantum-error-correcting codes is transformed into the problem of finding add...
2016-12-05Quantum computer is susceptible to decoherence. Therefore, quantum error correction is imp...
This chapter discusses quantum error-correcting codes constructed from algebraic curves. We give an ...
This text presents an algebraic approach to the construction of several important families of quantu...
It is known that quantum error correction can be achieved using classical binary codes or additive c...
We present a universal framework for quantum error-correcting codes, i.e., a framework that applies ...
Abstract-This paper describes a common mathematical framework for the design of additive and non-add...
A systematic and exhaustive method based on the group structure of a unitary Lie algebra is proposed...
This work has reached several results. The first is, that it was possible to find a new, algebraic f...
Quantum mechanics is the physics of the very small. Quantum computers are devices that utilize the p...
© 2006 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for a...
The stabilizer method for constructing a class of asymmetric quantum codes (AQC), called additive AQ...
The problem of finding quantum-error-correcting codes is transformed into the problem of finding add...
This work has reached several results. The first is, that it was possible to find a new, algebraic f...
AbstractWe give a new exposition and proof of a generalized CSS construction for nonbinary quantum e...
The problem of finding quantum-error-correcting codes is transformed into the problem of finding add...
2016-12-05Quantum computer is susceptible to decoherence. Therefore, quantum error correction is imp...