Ensemble quantum computing by NMR spectroscopy: product operators, pseudopure states, and an implementation of quantum error correction

1998 ◽  
Author(s):  
Timothy F. Havel ◽  
Shyamal S. Somaroo ◽  
David G. Cory
Keyword(s):  
Quantum Computing ◽  
Nmr Spectroscopy ◽  
Error Correction ◽  
Quantum Error Correction ◽  
Quantum Error

scholarly journals A study of quantum error correction by geometric algebra and liquid-state NMR spectroscopy

2000 ◽  
Vol 98 (17) ◽  
pp. 1347-1363 ◽  
Author(s):  
Y. Sharf ◽  
D. G. Cory ◽  
S. S. Somaroo ◽  
T. F. Havel ◽  
E. Knill ◽  
...  
Keyword(s):  
Nmr Spectroscopy ◽  
Error Correction ◽  
Geometric Algebra ◽  
Liquid State ◽  
Quantum Error Correction ◽  
Quantum Error

ALGEBRAIC FORMULATION OF QUANTUM ERROR CORRECTION

2008 ◽  
Vol 06 (supp01) ◽  
pp. 597-603 ◽  
Author(s):  
CÉDRIC BÉNY ◽  
DAVID W. KRIBS ◽  
ARON PASIEKA
Keyword(s):  
Quantum Computing ◽  
Error Correction ◽  
Operator Algebra ◽  
Algebraic Approach ◽  
Quantum Error Correction ◽  
Quantum Code ◽  
Classical Quantum ◽  
Quantum Error ◽  
Algebraic Formulation

We give a brief introduction to the algebraic formulation of error correction in quantum computing called operator algebra quantum error correction (OAQEC). Then we extend one of the basic results for subsystem codes in operator quantum error correction (OQEC) to the OAQEC setting: Every hybrid classical-quantum code is shown to be unitarily recoverable in an appropriate sense. The algebraic approach of the proof yields a new, less technical proof for the OQEC case.

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