Published In
Annals of Physics
Document Type
Pre-Print
Publication Date
3-5-2018
Subjects
Wave guides, Optical wave guides -- Mathematical models
Abstract
The faithful state transfer is an important requirement in the construction of classical and quantum computers. While the high-speed transfer is realized by optical-fibre interconnects, its implementation in integrated optical circuits is affected by cross-talk. The cross-talk between densely packed optical waveguides limits the transfer fidelity and distorts the signal in each channel, thus severely impeding the parallel transfer of states such as classical registers, multiple qubits and qudits. Here, we leverage on the suitably engineered cross-talk between waveguides to achieve the parallel transfer on optical chip. Waveguide coupling coefficients are designed to yield commensurate eigenvalues of the array and hence, periodic revivals of the input state. While, in general, polynomially complex, the inverse eigenvalue problem permits analytic solutions for small number of waveguides. We present exact solutions for arrays of up to nine waveguides and use them to design realistic buses for multi-(qu)bit and qudit transfer. Advantages and limitations of the proposed solution are discussed in the context of available fabrication techniques.
DOI
10.1016/j.aop.2018.03.008
Persistent Identifier
https://archives.pdx.edu/ds/psu/25782
Citation Details
Petrovic, J., & Veerman, J. J. P. (2018). A new method for multi-bit and qudit transfer based on commensurate waveguide arrays. Annals of Physics, 392, 128-141.
Description
This is the author manuscript of an article subsequently accepted and published in Annals of Physics. https://doi.org/10.1016/j.aop.2018.03.008