Processing quantum signals carried by electrical currents
arXiv:2008.01580 · doi:10.1103/PRXQuantum.2.020314
Abstract
Recent developments in the coherent manipulation of electrons in ballistic conductors include the generation of time-periodic electrical currents involving one to few electronic excitations per period. However, using individual electrons as carrier of quantum information for flying qubit computation or quantum metrology applications calls for a general method to unravel the single-particle excitations embedded in a quantum electrical current and how quantum information is encoded within it. Here, we propose a general signal processing algorithm to extract the elementary single-particle states, called electronic atoms of signal, present in any periodic quantum electrical current. These excitations and their mutual quantum coherence describe the excess single-electron coherence in the same way musical notes and score describe a sound signal emitted by a music instrument. This method, which is the first step towards the development of signal processing of quantum electrical currents is illustrated by assessing the quality of experimentally relevant single electron sources. The example of randomized quantum electrical currents obtained by regularly clocked but randomly injected unit charge Lorentzian voltage pulses enables us to discuss how interplay of the coherence of the applied voltage and of the Pauli principle alter the quantum coherence between the emitted single particle excitations.
arXiv comment35 pages, 24 figures
References in corpus (71)
- Maximally localized Wannier functions: Theory and applications
- Concentrating Partial Entanglement by Local Operations
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Electron Counting Statistics and Coherent States of Electric Current
- An On-Demand Coherent Single Electron Source
- Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
- Electrons surfing on a sound wave as a platform for quantum optics with flying electrons
- Bipartite Fluctuations as a Probe of Many-Body Entanglement
- Quantum computation using electrons trapped by surface acoustic waves
- Non-Equilibrium Edge Channel Spectroscopy in the Integer Quantum Hall Regime
- Electron quantum optics in ballistic chiral conductors
- Charge detection enables free-electron quantum computation
- Clock-controlled emission of single-electron wavepackets in a solid-state circuit
- Electrical control of a solid-state flying qubit
- Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
- Integer and fractional charge Lorentzian voltage pulses analyzed in the frame of Photon-assisted Shot Noise
- Single electron quantum tomography in quantum Hall edge channels
- Quantized dynamics of a coherent capacitor
- Shot noise of a mesoscopic two-particle collider
- Electron quantum optics in quantum Hall edge channels
- Fast spin information transfer between distant quantum dots using individual electrons
- Real time decoherence of Landau and Levitov quasi-particles in quantum Hall edge channels
- Interactions and charge fractionalization in an electronic Hong-Ou-Mandel interferometer
- Two-particle non-local Aharonov-Bohm effect from two single-particle emitters
- Coherence of Single Electron Sources from Mach-Zehnder Interferometry
- Coherent long-distance displacement of individual electron spins
- Wigner function approach to single electron coherence in quantum Hall edge channels
- Reasonable fermionic quantum information theories require relativity
- Time-of-Flight Measurements of Single-Electron Wave Packets in Quantum-Hall Edge States
- Fractionalization of minimal excitations in integer quantum Hall edge channels
- Quantum Computation with Ballistic Electrons
- Generation of energy selective excitations in quantum Hall edge states
- Wave-packet Formalism of Full Counting Statistics
- Electron quantum optics as quantum signal processing
- Sound-driven single-electron transfer in a circuit of coupled quantum rails
- Decoherence and relaxation of a single electron in a one dimensional conductor
- Quantum tomography of electrical currents
- Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor
- Glauber coherence of single electron sources
- Elementary Charge Transfer Processes in Mesoscopic Conductors
- Continuous-Variable Tomography of Solitary Electrons
- Crystallization of Levitons in the fractional quantum Hall regime
- Single-electron entanglement and nonlocality
- Dynamical generation and detection of entanglement in neutral leviton pairs
- Observation of Squeezing in the Electron Quantum Shot Noise of a Tunnel Junction
- Quantum optics theory of electronic noise in coherent conductors
- First-order correlation function of the stream of single-electron wave-packets
- Electronic Hong-Ou-Mandel interferometry in two-dimensional topological insulators
- Relaxation and revival of quasiparticles injected in an interacting quantum Hall liquid
- Taming electronic decoherence in 1D chiral ballistic quantum conductors
- Picosecond coherent electron motion in a silicon single-electron source
- Shaping charge excitations in chiral edge states with a time-dependent gate voltage
- Emission of Microwave Photon Pairs by a Tunnel Junction
- Electron and electron-hole quasiparticle states in a driven quantum contact
- Two-particle interferometry in quantum Hall edge channels
- Two-electron state from the Floquet scattering matrix perspective
- Pseudorandom binary injection of levitons for electron quantum optics
- Microwave photons emitted by fractionally charged quasiparticles
- Subnanosecond single electron source in the time-domain
- Theory of semiconductor quantum-wire based single- and two-qubit gates
- On-demand entanglement generation using dynamic single-electron sources
- Electronic quantum optics beyond the integer quantum Hall effect
- Discrete photon statistics from continuous microwave measurements
- Enhancing photon squeezing one Leviton at a time
- Single-particle shot noise at non-zero temperature
- Two-electron coherence and its measurement in electron quantum optics
- Time-energy filtering of single electrons in ballistic waveguides
- High-temperature fusion of a multi-electron leviton
- Dopant-controlled single-electron pumping through a metallic island
- Single-electron function at nonzero temperatures
- Normal and abnormal electron-hole pairs in a voltage-pulse-driven quantum conductor
Cited by in corpus (16)
- Time-resolved sensing of electromagnetic fields with single-electron interferometry
- Collision of two interacting electrons on a mesoscopic beamsplitter: exact solution in the classical limit
- AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
- Gottesman-Kitaev-Preskill encoding in continuous modal variables of single photons
- Semiconductor-based electron flying qubits: Review on recent progress accelerated by numerical modelling
- Quasiparticles states for integer- and fractional-charged electron wave packets
- Phase-space representation of coherent states generated through SUSY QM for tilted anisotropic Dirac materials
- Counting statistics of ultra-broadband microwave photons
- Quantum transport phenomena induced by time-dependent fields
- Propagation of ultrashort voltage pulses through a small quantum dot
- Floquet-Nambu theory of electron quantum optics with superconductors
- Auto- versus cross-correlation noise
- Characterizing and Mitigating Timing Noise-Induced Decoherence in Single Electron Sources
- On-Demand and Tunable Andreev-Conversion of Single-Electron Charge Pulses
- Wigner representation of Andreev-reflected charge pulses
- Periodic source of energy-entangled electrons in helical states coupled to a BCS superconductor