Bayesian tomography of high-dimensional on-chip biphoton frequency combs with randomized measurements

Abstract

has been co-authored by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the US Department of Energy (DOE). The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/doe-public-access-plan).

Frequency-bin entanglement from domain-engineered down-conversion

“…The coincidence probability for the heralded two photon interference is given by, p 4 (τ) = 1 2 − 1 2 dω i1 dω s1 dω i2 dω s2 f * (ω i1 , ω s2 ) f * (ω i2 , ω s1 ) f (ω i1 , ω s1 ) f (ω i2 , ω s2 ) e i(ω s1 −ω s2 )τ . (10) Again swapping the order of summation and integration and evaluating the integral over signal and idler frequencies give the coincidence probability as,…”

“…Frequency-bin states can be manipulated and detected using electro-optic modulators [7] and Fourier transform pulse shapers, which can in principle be lossless [8]. This has allowed for full tomography of frequency-bin entangled photon pairs [9,10] and generation of on-chip cluster states [11]. Pulse-mode encoded states are the most recent addition to the experimental time-frequency toolbox, having initially been studied in the context of spectral entanglement in pulsed parametric down-conversion (PDC) [12].…”

Optimal resource allocation for flexible-grid entanglement distribution networks

“…At each pump laser power, we measure the received photons in the rectilinear (H/V ) and diagonal (D/A) polarization bases, utilizing Bayesian inference to perform full tomography [69,70]. Refining the previous Bayesian procedure applied to the QLAN [22,36], we now take a Bures prior and assume a Poissonian likelihood, which better reflects the physical situation under test; we point the reader to [71] for details on this model for Bayesian inference.…”

Design Methodologies for Integrated Quantum Frequency Processors

“…In addition to the size and cost reduction of photonic integrated circuits (PICs), pulse shapers based on microring resonator (MRR) filters do not face the same resolution constraints as diffractive optics, and the elimination of fiber-coupling interfaces between components in a monolithic platform removes a major source of loss in existing QFPs. Coupled with the rapid progress on integrated sources of high-dimensional frequencybin-entangled states [25]- [31], integrated QFPs should enable complete frequency processing systems on chip. Yet PIC models that incorporate the nuances of MRR pulse shapers on QFP gate performance have not been developed.…”