Transport approach to quantum state tomography
arXiv:2501.16819 · doi:10.1103/zk56-jn7t
Abstract
Quantum state tomography (QST) is a central task for quantum information processing, enabling quantum cryptography, computation, and state certification. Traditional QST relies on projective measurements of single- and two-qubit Pauli operators, requiring the system of interest to be isolated from environmental dissipation. In this work, we demonstrate that measuring currents and associated transport quantities flowing through a quantum system in an open configuration enable the reconstruction of its quantum state. This result relies on an exact relation between transport quantities and the Krylov subspaces associated with the Lindbladian which encodes the dynamical evolution of an open quantum system. We illustrate this transport approach to QST with the explicit example of a two-qubit system embedded in a two-terminal setup. As a direct consequence of our framework, we are able to provide a transport-based entanglement measure to certify the presence of quantum correlations, expressing the concurrence in terms of current averages and correlations function only. Our findings are analytical, providing fundamental insights into quantum information processing in open quantum systems. They establish new connections between the fields of mesoscopic physics and quantum information theory.
19 pages, 1 figure
References in corpus (33)
- Scalable multi-particle entanglement of trapped ions
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Efficient quantum state tomography
- Deterministic Quantum State Transfer and Generation of Remote Entanglement using Microwave Photons
- Markovian master equations for quantum thermal machines: local vs global approach
- Strong Coupling Cavity QED with Gate-Defined Double Quantum Dots Enabled by a High Impedance Resonator
- Two-Qubit State Tomography using a Joint Dispersive Read-Out
- Control and Tomography of a Three Level Superconducting Artificial Atom
- Local vs global master equation with common and separate baths: superiority of the global approach in partial secular approximation
- Autonomous Quantum Error Correction and Application to Quantum Sensing with Trapped Ions
- Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
- Operator growth and Krylov construction in dissipative open quantum systems
- Photon Emission from a Cavity-Coupled Double Quantum Dot
- Autonomous quantum thermal machine for generating steady-state entanglement
- Quantum Dynamics in Krylov Space: Methods and Applications
- Quantum correlations and thermodynamic performances of two-qubit engines with local and collective baths
- Nonequilibrium thermal entanglement
- Signatures of Liouvillian exceptional points in a quantum thermal machine
- Fundamentals of Quantum Mechanics in Liouville Space
- Entanglement in the XX spin chain with an energy current
- Creation and protection of entanglement in systems out of thermal equilibrium
- Critical heat current for operating an entanglement engine
- Quantum error correction with dissipatively stabilized squeezed cat qubits
- Entanglement and its dynamics in open, dissipative systems
- Tomograms for open quantum systems: in(finite) dimensional optical and spin systems
- Priority Choice Experimental Two-qubit Tomography: Measuring One by One All Elements of Density Matrices
- Heat as a witness of quantum properties
- Spin-valley locked excited states spectroscopy in a one-particle bilayer graphene quantum dot
- Exact finite-time correlation functions for multi-terminal setups: Connecting theoretical frameworks for quantum transport and thermodynamics
- Steady-state entanglement production in a quantum thermal machine with continuous feedback control
- Thermodynamic precision in the nonequilibrium exchange scenario
- Maximal steady-state entanglement in autonomous quantum thermal machines
- Finite-time dynamics of an entanglement engine: current, fluctuations and kinetic uncertainty relations