Degenerate asymmetric quantum concatenated codes for correcting biased quantum errors

Properties of the excited state of strong-coupling impurity bound polaron in an asymmetric quantum dot are studied by using linear combination operator and unitary transformation methods. The first internal excited state energy, the excitation energy and the transition frequency between the first internal excited and the ground states of the impurity bound polaron as functions of the transverse and the longitudinal effective confinement lengths of the dot, the electron–phonon coupling strength and the Coulomb bound potential were derived. Our numerical results show that they will increase with decreasing the effective confinement lengths, due to interesting quantum size confining effects. But they are an increasing functions of the Coulomb bound potential. The first internal excited state energy is a decreasing function of the electron–phonon coupling strength whereas the transition frequency and the excitation energy are an increasing one of the electron–phonon coupling strength.

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Real space transfer rates for polar optical phonon scattering from asymmetric quantum wells

Solid-State Electronics ◽

10.1016/0038-1101(89)90260-8 ◽

1989 ◽

Vol 32 (12) ◽

pp. 1479-1483 ◽

Cited By ~ 1

Author(s):

Craig Lent ◽

Lie Liang

Keyword(s):

Quantum Wells ◽

Optical Phonon ◽

Phonon Scattering ◽

Real Space ◽

Polar Optical Phonon ◽

Transfer Rates ◽

Asymmetric Quantum ◽

Optical Phonon Scattering ◽

Real Space Transfer

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OPTICAL PHONON EFFECT IN AN ASYMMETRIC QUANTUM DOT QUBIT

International Journal of Quantum Information ◽

10.1142/s0219749912500773 ◽

2012 ◽

Vol 10 (07) ◽

pp. 1250077 ◽

Cited By ~ 28

Author(s):

ZHAO-HUA DING ◽

YONG SUN ◽

JING-LIN XIAO

Keyword(s):

Quantum Dot ◽

Excited States ◽

Oscillation Period ◽

Present System ◽

Superposition State ◽

Strongly Coupled ◽

Asymmetric Quantum Dot ◽

Asymmetric Quantum ◽

Electron Phonon Coupling ◽

Increasing Function

We investigate the eigenenergies and the eigenfunctions of the ground and the first excited states of an electron, which is strongly coupled to LO-phonon in an asymmetric quantum dot (QD) by using variational method of Pekar type. The present system may be used as a two-level qubit. When the electron is in the superposition state of the ground and the first excited states, the probability density of the electron oscillates in the QD with a certain period. It is found that the oscillation period is an increasing function of the transverse and the longitudinal effective confinement lengths of the QD, whereas it is a decreasing one of the electron–phonon coupling strength.

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ON TWO PROBLEMS OF ASYMMETRIC QUANTUM CODES

International Journal of Modern Physics B ◽

10.1142/s0217979214500179 ◽

2014 ◽

Vol 28 (06) ◽

pp. 1450017 ◽

Cited By ~ 6

Author(s):

RUIHU LI ◽

GEN XU ◽

LUOBIN GUO

Keyword(s):

Cyclic Codes ◽

Error Correcting Codes ◽

Bch Code ◽

Quantum Codes ◽

Quantum Code ◽

Asymmetric Quantum ◽

Asymmetric Quantum Codes ◽

Special Cases ◽

Quantum Error ◽

Better Than

In this paper, we discuss two problems on asymmetric quantum error-correcting codes (AQECCs). The first one is on the construction of a [[12, 1, 5/3]]2 asymmetric quantum code, we show an impure [[12, 1, 5/3 ]]2 exists. The second one is on the construction of AQECCs from binary cyclic codes, we construct many families of new asymmetric quantum codes with dz> δ max +1 from binary primitive cyclic codes of length n = 2m-1, where δ max = 2⌈m/2⌉-1 is the maximal designed distance of dual containing narrow sense BCH code of length n = 2m-1. A number of known codes are special cases of the codes given here. Some of these AQECCs have parameters better than the ones available in the literature.

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