A New Method for Multi-Bit and Qudit Transfer Based on Commensurate Waveguide Arrays
arXiv:1507.04154 · doi:10.1016/j.aop.2018.03.008
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.
References in corpus (9)
- Quantum Communication through Spin Chain Dynamics: an Introductory Overview
- Spin Chains as Perfect Quantum State Mirrors
- Experimental Perfect Quantum State Transfer
- Quantum state transmission via a spin ladder as a robust data bus
- Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
- Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits
- Perfect state transfer in networks of arbitrary topology and coupling configuration
- Irrationality and quasiperiodicity in driven nonlinear systems
- Quantum state reconstruction on Atom-Chips