A new class of designs which protect against quantum jumps

Thomas Beth; Christopher Charnes; Markus Grassl; Gernot Alber; Aldo Delgardo; Michael Mussinger

doi:10.1023/A:1024188005329

A new class of designs which protect against quantum jumps

Thomas Beth, Christopher Charnes, Markus Grassl, Gernot Alber, Aldo Delgardo, Michael Mussinger

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

We present the theory and construction of a new class of designs, which we call SEEDs (spontaneous emission error designs), arising in the study of decay processes of certain quantum systems used in the newly emerging field of quantum computing. We show that there is a simple and surprising connection between subspaces of the system Hilbert space, stable against these quantum jumps and the incidence matrices of SEEDs.

Original language	English
Pages (from-to)	51-70
Number of pages	20
Journal	Designs, Codes and Cryptography
Volume	29
Issue number	1
DOIs	https://doi.org/10.1023/A:1024188005329
Publication status	Published - 2003
Externally published	Yes

Keywords

quantum error correction
resolvable designs
partial designs
large sets

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10.1023/A:1024188005329

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abstract = "We present the theory and construction of a new class of designs, which we call SEEDs (spontaneous emission error designs), arising in the study of decay processes of certain quantum systems used in the newly emerging field of quantum computing. We show that there is a simple and surprising connection between subspaces of the system Hilbert space, stable against these quantum jumps and the incidence matrices of SEEDs.",

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AU - Alber, Gernot

AU - Delgardo, Aldo

AU - Mussinger, Michael

PY - 2003

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AB - We present the theory and construction of a new class of designs, which we call SEEDs (spontaneous emission error designs), arising in the study of decay processes of certain quantum systems used in the newly emerging field of quantum computing. We show that there is a simple and surprising connection between subspaces of the system Hilbert space, stable against these quantum jumps and the incidence matrices of SEEDs.

KW - quantum error correction

KW - resolvable designs

KW - partial designs

KW - large sets

U2 - 10.1023/A:1024188005329

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JO - Designs, Codes and Cryptography

JF - Designs, Codes and Cryptography

SN - 0925-1022

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A new class of designs which protect against quantum jumps

Abstract

Keywords

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