Infinitely many kinds of quantum channels

Journal Article · Tue Jan 01 00:00:00 EST 2008 · Physical Review Letters

OSTI ID:956610

Hastings, Matthew B ^[1]

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1. Los Alamos National Laboratory

We define the ability of a quantum channel to simulate another by means of suitable encoding and decoding operations. While classical channels have only two equivalence classes under simulation (channels with non-vanishing capacity and those with vanishing capacity), we show that there are an uncountable infinity of different equivalence classes of quantum channels using the example of the quantum erasure channel. Our results also imply a kind of 'Matthew principle' for error correction on certain channels.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 956610
• Report Number(s): LA-UR-08-07577; LA-UR-08-7577; PRLTAO; TRN: US201016%%2295
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
CAPACITY
CORRECTIONS
ERRORS
INFORMATION THEORY
QUANTUM INFORMATION
QUANTUM MECHANICS
SIMULATION