Bayesian tomography of high-dimensional on-chip biphoton frequency combs with randomized measurements
arXiv:2108.04124 · doi:10.1038/s41467-022-31639-z
Abstract
Owing in large part to the advent of integrated biphoton frequency combs (BFCs), recent years have witnessed increased attention to quantum information processing in the frequency domain for its inherent high dimensionality and entanglement compatible with fiber-optic networks. Quantum state tomography (QST) of such states, however, has required complex and precise engineering of active frequency mixing operations, which are difficult to scale. To address these limitations, we propose a novel solution that employs a pulse shaper and electro-optic phase modulator (EOM) to perform random operations instead of mixing in a prescribed manner. We successfully verify the entanglement and reconstruct the full density matrix of BFCs generated from an on-chip SiN microring resonator(MRR) in up to an -dimensional two-qudit Hilbert space, the highest dimension to date for frequency bins. More generally, our employed Bayesian statistical model can be tailored to a variety of quantum systems with restricted measurement capabilities, forming an opportunistic tomographic framework that utilizes all available data in an optimal way.
References in corpus (32)
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Security of quantum key distribution using d-level systems
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Quantum state tomography via compressed sensing
- Beating the channel capacity limit for linear photonic superdense coding
- Multidimensional quantum entanglement with large-scale integrated optics
- Integrated micro-comb sources for quantum optical applications
- Probing entanglement entropy via randomized measurements
- Advances in High Dimensional Quantum Entanglement
- Large-scale silicon quantum photonics implementing arbitrary two-qubit processing
- Nanophotonic soliton-based microwave synthesizers
- High-dimensional quantum communication: benefits, progress, and future challenges
- Optimal, reliable estimation of quantum states
- Closing the detection loophole in Bell experiments using qudits
- Measurements in two bases are sufficient for certifying high-dimensional entanglement
- Electro-Optic Frequency Beamsplitters and Tritters for High-Fidelity Photonic Quantum Information Processing
- High-dimensional frequency-bin entangled photons in an optical microresonator on a chip
- High-dimensional quantum gates using full-field spatial modes of photons
- A squeezed quantum microcomb on a chip
- Bures volume of the set of mixed quantum states
- Quantifying photonic high-dimensional entanglement
- Controllable two-photon interference with versatile quantum frequency processor
- A practical and efficient approach for Bayesian quantum state estimation
- A controlled-NOT gate for frequency-bin qubits
- Random Bures mixed states and the distribution of their purity
- Fully Arbitrary Control of Frequency-Bin Qubits
- Double inverse nanotapers for efficient light coupling to integrated photonic devices
- All-optical frequency processor for networking applications
- Implementation of quantum state tomography for time-bin qudits
- Quantum state estimation when qubits are lost: A no-data-left-behind approach
- Efficient compressive and Bayesian characterization of biphoton frequency spectra
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- High-Dimensional Entanglement for Quantum Communication in the Frequency Domain
- CMOS photonic integrated source of ultrabroadband polarization-entangled photons
- Recent advances in high-dimensional mode-locked quantum frequency combs
- Complete frequency-bin Bell basis synthesizer
- Frequency-domain engineering of bright squeezed vacuum for continuous-variable quantum information
- NOON-state interference in the frequency domain
- Characterization of Quantum Frequency Processors
- Design Methodologies for Integrated Quantum Frequency Processors
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- Time-resolved Hanbury Brown-Twiss interferometry of on-chip biphoton frequency combs using Vernier phase modulation
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- Resilient Entanglement Distribution in a Multihop Quantum Network
- Deployed quantum link characterization via Bayesian ancilla-assisted process tomography
- On the role of symmetry and geometry in global quantum sensing
- On-chip pulse shaping of entangled photons
- Discrete and parallel frequency-bin entanglement generation from quantum frequency comb
- From broadband biphotons to frequency combs via spectral compression with time-varying cavities
- Enhanced Compressive Threshold Quantum State Tomography for Qudit Systems
- Corrupted sensing quantum state tomography
- Unorthodox parallelization for Bayesian quantum state estimation
- High-dimensional quantum communication with scalable photonic entanglement in time and frequency
- Harnessing Hybrid Frequency-Entangled Qudits through Quantum Interference
- In situ quantum verification of polarization-stabilized optical channels