Quantum process reconstruction based on mutually unbiased basis

Abstract

We study a quantum process reconstruction based on the use of mutually unbiased projectors (MUB-projectors) as input states for a D-dimensional quantum system, with D being a power of a prime number. This approach connects the results of quantum-state tomography using mutually unbiased bases (MUB) with the coefficients of a quantum process, expanded in terms of MUB-projectors. We also study the performance of the reconstruction scheme against random errors when measuring probabilities at the MUB-projectors.

6 pages, 1 figure

References in corpus (6)

• Quantum Process Tomography: Resource Analysis of Different Strategies
• Process tomography of ion trap quantum gates
• Quantum process tomography and Linblad estimation of a solid state qubit
• Process tomography of field damping and measurement of Fock state lifetimes by quantum non-demolition photon counting in a cavity
• How state preparation can affect a quantum experiment: Quantum process tomography for open systems
• Optimal quantum state reconstruction for cold trapped ions

Cited by in corpus (24)

• Higher-dimensional orbital angular momentum based quantum key distribution with mutually unbiased bases
• Entanglement detection via mutually unbiased bases
• Characterization of high-dimensional entangled systems via mutually unbiased measurements
• Entanglement detection using mutually unbiased measurements
• Unextendible maximally entangled bases and mutually unbiased bases
• Generalized Pauli channels and a class of non-Markovian quantum evolution
• Quantum Conical Designs
• Minimum number of input states required for quantum gate characterization
• Entanglement witnesses from mutually unbiased bases
• Quantum process tomography of a high-dimensional quantum communication channel
• Mutual Unbiasedness in Coarse-grained Continuous Variables
• Uncertainty Relations for coarse-grained measurements: an overview
• A Note on Mutually Unbiased Unextendible Maximally Entangled Bases in ${\mathbb{C}}^2⨂{\mathbb{C}}^3$
• On the Optimal Choice of Spin-Squeezed States for Detecting and Characterizing a Quantum Process
• Orbits of mutually unbiased bases
• Mutually Unbiased Bases In 3 and 4 Dimensions Semi-quantum Key Distribution Protocol
• Mutually Unbiased Coarse-Grained Measurements of Two or More Phase-Space Variables
• Controlled generation of mixed spatial qudits with arbitrary degree of purity
• Constructing mutually unbiased bases from unextendible maximally entangled bases
• Entropic Bounds For Unitary Testers and Mutually Unbiased Unitary Bases
• Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories
• Optimal unbiased state characterization
• 3D compact photonic circuits for realizing quantum state tomography of qudits in any finite dimension
• Mutually disjoint, maximally commuting set of physical observables for optimum state determination