Errors in heralded circuits for linear optical entanglement generation
- URL: http://arxiv.org/abs/2305.08452v1
- Date: Mon, 15 May 2023 08:50:50 GMT
- Title: Errors in heralded circuits for linear optical entanglement generation
- Authors: Reece D. Shaw, Alex E. Jones, Patrick Yard, Anthony Laing
- Abstract summary: We develop a simulation framework that reconstructs photonic quantum states in the presence of non-computational leakage errors.
Our work is a necessary step in revealing the true noise models that must be addressed in fault-tolerant photonic quantum computing architectures.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The heralded generation of entangled states underpins many photonic quantum
technologies. As quantum error correction thresholds are determined by
underlying physical noise mechanisms, a detailed and faithful characterization
of resource states is required. Non-computational leakage, e.g. more than one
photon occupying a dual-rail encoded qubit, is an error not captured by
standard forms of state tomography, which postselect on photons remaining in
the computational subspace. Here we use the continuous-variable (CV) formalism
and first quantized state representation to develop a simulation framework that
reconstructs photonic quantum states in the presence of partial
distinguishability and resulting non-computational leakage errors. Using these
tools, we analyze a variety of Bell state generation circuits and find that the
five photon discrete Fourier transform (DFT) Bell state generation scheme [Phys
Rev. Lett. 126 23054 (2021)] is most robust to such errors for near-ideal
photons. Through characterization of a photonic entangling gate, we demonstrate
how leakage errors prevent a modular characterization of concatenated gates
using current tomographical procedures. Our work is a necessary step in
revealing the true noise models that must be addressed in fault-tolerant
photonic quantum computing architectures.
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