Advancing Quantum Networking: Some Tools and Protocols for Ideal and Noisy Photonic Systems
arXiv:2403.02515 · doi:10.1117/12.3023843
Abstract
Quantum networking at many scales will be critical to future quantum technologies and experiments on quantum systems. Photonic links enable quantum networking. They will connect co-located quantum processors to enable large-scale quantum computers, provide links between distant quantum computers to support distributed, delegated, and blind quantum computing, and will link distant nodes in space enabling new tests of fundamental physics. Here, we discuss recent work advancing photonic tools and protocols that support quantum networking. We provide analytical results and numerics for the effect of distinguishability errors on key photonic circuits; we considered a variety of error models and developed new metrics for benchmarking the quality of generated photonic states. We review a distillation protocol by one of the authors that mitigates distinguishability errors. We also review recent results by a subset of the authors on the efficient simulation of photonic circuits via approximation by coherent states. We study some interactions between the theory of universal sets, unitary t-designs, and photonics: while many of the results we state in this direction may be known to experts, we aim to bring them to the attention of the broader quantum information science community and to phrase them in ways that are more familiar to this community. We prove, translating a result from representation theory, that there are no non-universal infinite closed -designs in when . As a consequence, we observe that linear optical unitaries form a -design but not a 2-design. Finally, we apply a result of Oszmaniec and Zimborás to prove that augmenting the linear optical unitaries with any nontrivial SNAP gate is sufficient to achieve universality.
arXiv commentSubmitted to SPIE Photonics West 2024, comments welcome
References in corpus (27)
- Review article: Linear optical quantum computing
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Resource-efficient linear optical quantum computation
- Exact and Approximate Unitary 2-Designs: Constructions and Applications
- Photonic quantum information processing: a concise review
- Chaos and complexity by design
- Evenly distributed unitaries: on the structure of unitary designs
- How good must single photon sources and detectors be for efficient linear optical quantum computation?
- 3/4-efficient Bell measurement with passive linear optics and unentangled ancillae
- Multiqubit Clifford groups are unitary 3-designs
- Universal Control of an Oscillator with Dispersive Coupling to a Qubit
- Optimizing quantum process tomography with unitary 2-designs
- Efficient algorithm for boson sampling with partially distinguishable photons
- Unitary designs and codes
- Hong-Ou-Mandel Interference with Imperfect Single Photon Sources
- Random bosonic states for robust quantum metrology
- Classical simulation of photonic linear optics with lost particles
- BosonSampling with Lost Photons
- Symbolic integration with respect to the Haar measure on the unitary group
- Decoupling with unitary approximate two-designs
- Generation of Universal Linear Optics by Any Beamsplitter
- Universal extensions of restricted classes of quantum operations
- Effect of dispersion on indistinguishability between single-photon wave-packets
- Distillation of Indistinguishable Photons
- Strong Simulation of Linear Optical Processes
- The curious nonexistence of Gaussian 2-designs
- Simulation of quantum optics by coherent state decomposition