Macroscopic approach to N-qudit systems
arXiv:2002.03819 · doi:10.1088/1751-8121/ab8b77
Abstract
We develop a general scheme for an analysis of macroscopic qudit systems: a) introduce a set of collective observables, which characterizes the macroscopic properties of qudits in an optimal way; b) construct projected -functions for qudit systems, containing full macroscopic information; c) propose a collective tomographic protocol both for a general and symmetric -qudit states. The example of -qutrit is analyzed in details and compared to -qubit case
References in corpus (40)
- On the Measurement of Qubits
- Security of quantum key distribution using d-level systems
- Scalable multi-particle entanglement of trapped ions
- A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
- Quantum state tomography via compressed sensing
- Symmetric Informationally Complete Quantum Measurements
- Efficient quantum state tomography
- Supersolid formation in a quantum gas breaking continuous translational symmetry
- Discrete phase space based on finite fields
- Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment
- Qudit Quantum State Tomography
- Permutationally invariant quantum tomography
- Improving Quantum State Estimation with Mutually Unbiased Bases
- Control and Tomography of a Three Level Superconducting Artificial Atom
- Quantum State Tomography via Linear Regression Estimation
- Stabilizer states and Clifford operations for systems of arbitrary dimensions, and modular arithmetic
- Classicality in discrete Wigner functions
- Security of Quantum Key Distribution with entangled quNits
- Permutationally invariant state reconstruction
- Scalable reconstruction of density matrices
- Characterization of high-dimensional entangled systems via mutually unbiased measurements
- Experimental quantum tomography of photonic qudits via mutually unbiased basis
- Realization of single-qubit positive operator-valued measurement via a one-dimensional photonic quantum walk
- Experimental characterization of qutrits using SIC-POVMs
- Deterministic realization of collective measurements via photonic quantum walks
- Experimental Comparison of Efficient Tomography Schemes for a Six-Qubit State
- Qubits in phase space: Wigner function approach to quantum error correction and the mean king problem
- Spin squeezing and entanglement for arbitrary spin
- Parallelism for Quantum Computation with Qudits
- Characterizing Genuine Multilevel Entanglement
- Quasiprobability distribution functions for periodic phase-spaces: I. Theoretical Aspects
- Minimum tomography of two entangled qutrits using local measurements of one-qutrit SIC-POVM
- Optimal experiment design revisited: fair, precise and minimal tomography
- Discrete coherent and squeezed states of many-qudit systems
- Extended Cahill and Glauber formalism for finite dimensional spaces II. Applications in quantum tomography and quantum teleportation
- Experimental study of optimal measurements for quantum state tomography
- Information criteria for efficient quantum state estimation
- Adaptive quantum tomography
- Macroscopic features of quantum fluctuations in large N qubit system
- Tomography from collective measurements