Dynamics of quantum resources in regular and Majorana fermion systems
arXiv:2108.01205 · doi:10.1103/PhysRevA.105.042407
Abstract
In recent years, the reassessment of quantum physical phenomena under the framework of resource theories has triggered the design of novel quantum technologies that take advantage from quantum resources, such as entanglement and quantum coherence. Bearing this in mind, in this work we study the dynamics of quantum resources for two solid-state fermionic quantum devices: (i) a system composed by a pair of Majorana fermions and (ii) another comprising a pair of regular fermions. In both systems, the fermionic species are coupled to a single-level quantum dot. From the interaction of these tripartite systems with a dissipative reservoir, we were able to characterize the dynamics of the devices for some initial states. By employing a time-nonlocal master equation approach, we obtain the evolution for fermionic occupations, quantum correlations, and quantum coherences in both the Markovian and non-Markovian dissipating regimes. We investigate the interconversion of local coherence and bipartite correlations for the marginal states in each device. While the dynamics of the entanglement and quantum coherence depend quite strongly on the temperature of the reservoir for regular fermions, we found these evolutions are qualitatively similar for the case of Majorana bound states regardless of temperature. Our results illustrate the use of quantum information-theoretic measures to characterize the role of quantum resources in fermion systems.
arXiv comment20 pages, 14 figures. Close to published version
References in corpus (57)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Quantum sensing
- Long-distance quantum communication with atomic ensembles and linear optics
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Entanglement of a Pair of Quantum Bits
- Quantifying Coherence
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Quantum Coherence as a Resource
- Quantum metrology with nonclassical states of atomic ensembles
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Quantum Resource Theories
- Majorana fermions in a tunable semiconductor device
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Operational Resource Theory of Coherence
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Quantum metrology from a quantum information science perspective
- Probing condensed matter physics with magnetometry based on nitrogen-vacancy centres in diamond
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Milestones toward Majorana-based quantum computing
- High Resolution Magnetic Resonance Spectroscopy Using Solid-State Spins
- Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
- Non-Abelian operations on Majorana fermions via single charge control
- Nonlocality of Majorana Modes in Hybrid Nanowires
- Non-Markovian quantum state diffusion: Perturbation approach
- Subtle leakage of a Majorana mode into a quantum dot
- Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems
- A Unified View of Quantum Correlations and Quantum Coherence
- Quantum Correlations and Coherence in Spin-1 Heisenberg Chains
- Operational Resource Theory of Quantum Channels
- Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers
- Density Matrix Topological Insulators
- Probing Majorana Physics in Quantum Dot Shot Noise Experiments
- Structure of the resource theory of quantum coherence
- Energy Cost of Creating Quantum Coherence
- A resource theory of entanglement with a unique multipartite maximally entangled state
- Observation of topological Uhlmann phases with superconducting qubits
- Quantum Computing with Majorana Fermion Codes
- Thermal Instability of Protected End States in a 1-D Topological Insulator
- Efficient simulation of open quantum systems coupled to a fermionic bath
- Driven Dissipative Majorana Dark Spaces
- Cross-correlations mediated by Majorana bound states
- Towards dark space stabilization and manipulation in driven dissipative Majorana platforms
- Quantum Correlations beyond Entanglement and Discord
- Genuine Distributed Coherence
- Toward physical realizations of thermodynamic resource theories
- Noise threshold and resource cost of fault-tolerant quantum computing with Majorana fermions in hybrid systems
- Certified Quantum Measurement of Majorana Fermions
- Spectroscopy of the local density-of-states in nanowires using integrated quantum dots
- Fröhlich-coupled qubits interacting with fermionic baths