Electron quantum optics as quantum signal processing
arXiv:1610.02086 · doi:10.1002/pssb.201600621
Abstract
The recent developments of electron quantum optics in quantum Hall edge channels have given us new ways to probe the behavior of electrons in quantum conductors. It has brought new quantities called electronic coherences under the spotlight. In this paper, we explore the relations between electron quantum optics and signal processing through a global review of the various methods for accessing single- and two-electron coherences in electron quantum optics. We interpret electron quantum optics interference experiments as analog signal processing converting quantum signals into experimentally observable quantities such as current averages and correlations. This point of view also gives us a procedure to obtain quantum information quantities from electron quantum optics coherences. We illustrate these ideas by discussing two mode entanglement in electron quantum optics. We also sketch how signal processing ideas may open new perspectives for representing electronic coherences in quantum conductors and understand the properties of the underlying many-body electronic state.
19 pages, 9 figures, to appear in Physical Status Solidi B focus issue on 'Single-electron control in solid-state devices'. Version 2 & 3: expanded section 2 with extra-references reviewing electron quantum optics in other systems and updated bibliography+ corrected misprints + corrected Figs. 8 & 9 and associated comments due to a small error in numerics: no change to conclusions
References in corpus (34)
- An On-Demand Coherent Single Electron Source
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
- Measurements of the Correlation Function of a Microwave Frequency Single Photon Source
- Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
- Quantum homodyne tomography of a two-photon Fock state
- An atomic Hong-Ou-Mandel experiment
- Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
- Finite bias visibility of the electronic Mach-Zehnder interferometer
- Schemes for the observation of photon correlation functions in circuit QED with linear detectors
- Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
- Electron quantum optics in quantum Hall edge channels
- Resonant dephasing in the electronic Mach-Zehnder interferometer
- Decoherence and interactions in an electronic Mach-Zehnder interferometer
- Noise dephasing in the edge states of the Integer Quantum Hall regime
- Levitons for electron quantum optics
- The relaxation time of a chiral quantum R-L circuit
- Decoherence and relaxation of a single electron in a one dimensional conductor
- Antibunched photons emitted by a quantum point contact out of equilibrium
- Electronic Hong-Ou-Mandel interferometer for multi-mode entanglement detection
- Exactly Solved Model for an Electronic Mach-Zehnder Interferometer
- First-order correlation function of the stream of single-electron wave-packets
- Experimental Violation Of Bell-like Inequalities By Electronic Shot Noise
- Entanglement entropy in dynamic quantum-coherent conductors
- Emission of Microwave Photon Pairs by a Tunnel Junction
- Two-particle interferometry in quantum Hall edge channels
- Optimal pumping of orbital entanglement with single particle emitters
- Pauli-Heisenberg Blockade of Electron Quantum Transport
- On-demand entanglement generation using dynamic single-electron sources
- Electronic quantum optics beyond the integer quantum Hall effect
- Dephasing by electron-electron interactions in a ballistic Mach-Zehnder interferometer
- A high sensitivity ultra-low temperature RF conductance and noise measurement setup
- Characterizing electron entanglement in multiterminal mesoscopic conductors
- Coherent Single Spin Source based on topological insulator
Cited by in corpus (32)
- Coherent control of single electrons: a review of current progress
- Two-photon interference: the Hong-Ou-Mandel effect
- Quantum tomography of electrical currents
- Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
- Anyons in Quantum Hall Interferometry
- Taming electronic decoherence in 1D chiral ballistic quantum conductors
- Two-particle interferometry in quantum Hall edge channels
- Dephasing in Mach-Zehnder interferometer by an Ohmic contact
- Coulomb and exchange interaction effects on the exact two-electron dynamics in the Hong-Ou-Mandel interferometer based on Hall edge states
- Processing quantum signals carried by electrical currents
- Time-resolved electrical detection of chiral edge vortex braiding
- Composite two-particle sources
- Time-energy filtering of single electrons in ballistic waveguides
- Multi-particle interference in an electronic Mach-Zehnder interferometer
- Current correlations of Cooper-pair tunneling into a quantum Hall system
- Current cross-correlations in a quantum Hall collider at filling factor two
- Two-electron selective coupling in an edge-state based conditional phase shifter
- Single-electron function at nonzero temperatures
- Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects
- AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
- Collision of two interacting electrons on a mesoscopic beamsplitter: exact solution in the classical limit
- Nonlocal Transport of Heat in Equilibrium Drift-Diffusion Systems
- Suppression of the radiation squeezing in interacting quantum Hall edge channels
- A time-frequency approach to relativistic correlations in quantum field theory
- Quantum transport phenomena induced by time-dependent fields
- Floquet-Nambu theory of electron quantum optics with superconductors
- Auto- versus cross-correlation noise
- Wigner representation of Andreev-reflected charge pulses
- On-Demand and Tunable Andreev-Conversion of Single-Electron Charge Pulses
- Single-electron emission from degenerate quantum levels
- Periodic source of energy-entangled electrons in helical states coupled to a BCS superconductor
- Interaction-free measurement with mesoscopic devices on a GaAs/AlGaAs heterostructure