Experimental quantum tomography of photonic qudits via mutually unbiased basis

Abstract

We present the experimental quantum tomography of 7- and 8-dimensional quantum systems based on projective measurements in the mutually unbiased basis (MUB-QT). One of the advantages of MUB-QT is that it requires projections from a minimal number of bases to be performed. In our scheme, the higher dimensional quantum systems are encoded using the propagation modes of single photons, and we take advantage of the capabilities of amplitude- and phase-modulation of programmable spatial light modulators to implement the MUB-QT.

Published version

References in corpus (11)

• Scalable multi-particle entanglement of trapped ions
• Choice of Measurement Sets in Qubit Tomography
• Manipulating spatial qudit states with programmable optical devices
• Optimal quantum state reconstruction for cold trapped ions
• Measurement and control of spatial qubits generated by passing photons through double-slits
• Propagation of spatially entangled qudits through free space
• Quantum tomography via equidistant states
• Fast entanglement detection for unknown states of two spatial qutrits
• Measurement of spatial qubits
• Unbiased non-orthogonal bases for tomographic reconstruction
• Viable entanglement detection of unknown mixed states in low dimensions

Cited by in corpus (69)

• Higher-dimensional orbital angular momentum based quantum key distribution with mutually unbiased bases
• Quantum information processing with space-division multiplexing optical fibres
• High-dimensional decoy-state quantum key distribution over 0.3 km of multicore telecommunication optical fibers
• Quantum key distribution session with 16-dimensional photonic states
• Characterization of high-dimensional entangled systems via mutually unbiased measurements
• Experimental engineering of arbitrary qudit states with discrete-time quantum walks
• Applying the simplest Kochen-Specker set for quantum information processing
• Quantum key distribution overcoming extreme noise: simultaneous subspace coding using high-dimensional entanglement
• Five measurement bases determine pure quantum states on any dimension
• Experimental minimum-error quantum-state discrimination in high dimensions
• Qudit Quantum Computation in the Jaynes-Cummings Model
• Quantum process reconstruction based on mutually unbiased basis
• Minimum tomography of two entangled qutrits using local measurements of one-qutrit SIC-POVM
• Preparing arbitrary pure states of spatial qudits with a single phase-only spatial light modulator
• Test of mutually unbiased bases for six-dimensional photonic quantum systems
• Intrinsic Sensitivity Limits for Multiparameter Quantum Metrology
• High-dimensional quantum communication complexity beyond strategies based on Bell's theorem
• Certifying an irreducible 1024-dimensional photonic state using refined dimension witnesses
• Experimental simulation of decoherence in photonics qudits
• Quantum capacity analysis of multi-level amplitude damping channels
• Experimental implementation of an eight-dimensional Kochen-Specker set and observation of its connection with the Greenberger-Horne-Zeilinger theorem
• Remote state preparation of spatial qubits
• Background Measurements in the Gran Sasso Underground Laboratory
• Experimental study of optimal measurements for quantum state tomography
• Aharon-Vaidman quantum game with a Young-type photonic qutrit
• Determination of any pure spatial qudits from a minimum number of measurements by phase stepping interferometry
• Realization of mutually unbiased bases for a qubit with only one wave plate: Theory and experiment
• Reconfigurable generation and measurement of mutually unbiased bases for time-bin qudits
• Construction of mutually unbiased bases with cyclic symmetry for qubit systems
• Entanglement properties of multipartite informationally complete quantum measurements
• Quantum randomness protected against detection loophole attacks
• Testing noncontextuality inequalities that are building blocks of quantum correlations
• Experimental quantum tomography assisted by multiply symmetric states in higher dimensions
• Scalable estimation of pure multi-qubit states
• Optimized generation of spatial qudits by using a pure phase spatial light modulator
• Self-testing mutually unbiased bases in higher dimensions with space-division multiplexing optical fiber technology
• Partially Coherent Direct Sum Channels
• A set of $4d-3$ observables to determine any pure qudit state
• Experimental demonstration of the connection between quantum contextuality and graph theory
• Hybrid quantum computing with ancillas
• Ancilla-driven quantum computation for qudits and continuous variables
• Quantum tomography of noisy ion-based qudits
• Non-Markovianity in High-Dimensional Open Quantum Systems using Next-generation Multicore Optical Fibers
• Towards correcting atmospheric beam wander via pump beam control in a down conversion process
• Proposal for Automated Operations for Single-Photon Multipath Qudits
• Tomography from collective measurements
• Ptychography of pure quantum states
• Quantum computation mediated by ancillary qudits and spin coherent states
• Characterizing $d-$dimensional quantum channels by means of quantum process tomography
• Controlled generation of mixed spatial qudits with arbitrary degree of purity
• Quantum tomography via Non-orthogonal basis and weak values
• Fusion for High-Dimensional Linear Optical Quantum Computing with Improved Success Probability
• Macroscopic approach to N-qudit systems
• Experimental characterization of quantum processes: a selective and efficient method in arbitrary finite dimension
• Optimization for maximum modulation of a double-pass twisted nematic liquid crystal display
• Minimal orthonormal bases for pure quantum state estimation
• Simple Adaption of Measurements for Qudit Estimation
• Tunable entanglement distillation of spatially correlated down-converted photons
• Inspecting the use of SLMs for the control of photonic quantum states
• Determination of spatial quantum states by using Point Diffraction Interferometry
• Optimal unbiased state characterization
• Cyclic measurements and simplified quantum state tomography
• Conditional states and entropy in qudit-qubit systems
• Defocusing microscopy with an arbitrary size for the aperture of the objective lens
• Quantum Imaging of High-Dimensional Hilbert Spaces with Radon Transform
• Equivalence of mutually unbiased bases via orbits: general theory and a $d=4$ case study
• Mutually disjoint, maximally commuting set of physical observables for optimum state determination
• Orthogonal pairs and mutually unbiased bases
• 3D compact photonic circuits for realizing quantum state tomography of qudits in any finite dimension