High-dimensional quantum encoding via photon-subtracted squeezed states
arXiv:1811.09263 · doi:10.1103/PhysRevA.99.022342
Abstract
We introduce a high-dimensional quantum encoding based on coherent mode-dependent single-photon subtraction from multimode squeezed states. This encoding can be seen as a generalization to the case of non-zero squeezing of the standard single-photon multi-rail encoding. The advantage is that the presence of squeezing enables the use of common tools in continuous-variable quantum processing, which in turn allows to show that arbitrary -level quantum states can be generated and detected via simply tuning the classical fields that gates the photon-subtraction scheme. Therefore, the scheme is suitable for mapping arbitrary classical data in quantum mechanical form. Regardless the dimension of the data set alphabet, the mapping is conditioned on the subtraction of a single photon only, making it nearly unconditional. We prove that this encoding can be used to calculate vector distances, a pivotal primitive in various quantum machine learning algorithms.
arXiv comment12 pages, 3 figures. Corrected typos, closer to published version
References in corpus (53)
- Quantum Machine Learning
- Quantum information with continuous variables
- Gaussian Quantum Information
- Review article: Linear optical quantum computing
- Encoding a qubit in an oscillator
- Universal Quantum Computation with ideal Clifford gates and noisy ancillas
- Multi-photon entanglement and interferometry
- An introduction to quantum machine learning
- Quantum fingerprinting
- Universal Linear Optics
- Generation of a superposition of odd photon number states for quantum information networks
- Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
- Large-scale silicon quantum photonics implementing arbitrary two-qubit processing
- Quantum transport simulations in a programmable nanophotonic processor
- Wavelength-Multiplexed Quantum Networks with Ultrafast Frequency Combs
- From Classical to Quantum Shannon Theory
- Experimental realization of multipartite entanglement of 60 modes of a quantum optical frequency comb
- Continuous-variable teleportation improvement by photon subtraction via conditional measurement
- New class of quantum error-correcting codes for a bosonic mode
- Proposal for a loophole-free Bell test using homodyne detection
- Fault-tolerant linear optical quantum computing with small-amplitude coherent states
- Experimental Preparation of Quadripartite Cluster and GHZ Entangled States for Continuous Variables
- Resource theory of quantum non-Gaussianity and Wigner negativity
- Teleportation improvement by inconclusive photon subtraction
- Implementing a distance-based classifier with a quantum interference circuit
- A Quantum Pulse Gate based on Spectrally Engineered Sum Frequency Generation
- Generation of one-million-mode continuous-variable cluster state by unlimited time-domain multiplexing
- Quantum homodyne tomography of a two-photon Fock state
- Proposed Test of Quantum Nonlocality for Continuous Variables
- Bosonic Quantum Codes for Amplitude Damping
- Breeding the optical Schroedinger's cat state
- Direct measurement of the Wigner function by photon counting
- Convex resource theory of non-Gaussianity
- Programmable Multimode Quantum Networks
- Recent developments in photon-level operations on travelling light fields
- Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states
- Quantum Hypergraph States
- Generating superposition of up-to three photons for continuous variable quantum information processing
- Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings
- Conditional generation of arbitrary single-mode quantum states of light by repeated photon subtractions
- Demonstration of coherent time-frequency Schmidt mode selection using dispersion-engineered frequency conversion
- Extraction of a single photon from an optical pulse
- Probing the negative Wigner function of a pulsed single photon point by point
- Tomography of a Mode-Tunable Coherent Single-Photon Subtractor
- Sampling arbitrary photon-added or photon-subtracted squeezed states is in the same complexity class as boson sampling
- Polynomial approximation of non-Gaussian unitaries by counting one photon at a time
- Non-linear photon subtraction from a multimode quantum field
- Proposal for a loophole-free violation of Bell inequalities with a set of single photons and homodyne measurements
- Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion
- Nonlocality of two- and three-mode continuous variable systems
- Tests of multimode quantum non-locality with homodyne measurements
- A direct approach to Gaussian measurement based quantum computation
- Generation of picosecond pulsed coherent state superpositions
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