Implementing arbitrary multi-mode continuous-variable quantum gates with fixed non-Gaussian states and adaptive linear optics
arXiv:2405.19067 · doi:10.1103/PhysRevA.110.022614
Abstract
Non-Gaussian quantum gates are essential components for optical quantum information processing. However, the efficient implementation of practically important multi-mode higher-order non-Gaussian gates has not been comprehensively studied. We propose a measurement-based method to directly implement general, multi-mode, and higher-order non-Gaussian gates using only fixed non-Gaussian ancillary states and adaptive linear optics. Compared to existing methods, our method allows for a more resource-efficient and experimentally feasible implementation of multi-mode gates that are important for various applications in optical quantum technology, such as the two-mode cubic quantum non-demolition gate or the three-mode continuous-variable Toffoli gate, and their higher-order extensions. Our results will expedite the progress toward fault-tolerant universal quantum computing with light.
20 pages, 8 figures
References in corpus (16)
- Quantum Simulation
- Encoding a qubit in an oscillator
- Quantum computation over continuous variables
- Measurement-based quantum computation
- Efficient Classical Simulation of Continuous Variable Quantum Information Processes
- A No-Go Theorem for Gaussian Quantum Error Correction
- Implementation of a quantum cubic gate by adaptive non-Gaussian measurement
- One-hundred step measurement-based quantum computation multiplexed in the time domain with 25 MHz clock frequency
- How to decompose arbitrary continuous-variable quantum operations
- General implementation of arbitrary nonlinear quadrature phase gates
- Waring decompositions of monomials
- Nonlinear feedforward enabling quantum computation
- Exact gate decompositions for photonic quantum computing
- All-optical quantum computing using cubic phase gates
- Deterministic multi-mode nonlinear coupling for quantum circuits
- Generic forms of low Chow rank