Quantum Encoding and Entanglement in Terms of Phase Operators Associated with Harmonic Oscillator

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• 作者：Manu Pratap Singh ; B. S. Rajput
• 关键词：Qudit quantum computation ; Phase operators ; Harmonic oscillator ; Semi ; Unitary Transformation (SUT) ; Quantum anomalies ; Analytic index ; Maximally Entangled States (MES)
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：55
• 期：10
• 页码：4393-4405
• 全文大小：276 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575
• 卷排序：55

文摘

Realization of qudit quantum computation has been presented in terms of number operator and phase operators associated with one-dimensional harmonic oscillator and it has been demonstrated that the representations of generalized Pauli group, viewed in harmonic oscillator operators, allow the qudits to be explicitly encoded in such systems. The non-Hermitian quantum phase operators contained in decomposition of the annihilation and creation operators associated with harmonic oscillator have been analysed in terms of semi unitary transformations (SUT) and it has been shown that the non-vanishing analytic index for harmonic oscillator leads to an alternative class of quantum anomalies. Choosing unitary transformation and the Hermitian phase operator free from quantum anomalies, the truncated annihilation and creation operators have been obtained for harmonic oscillator and it has been demonstrated that any attempt of removal of quantum anomalies leads to absence of minimum uncertainty.