Fast Quantum State Tomography in the Nitrogen Vacancy Center of Diamond

Abstract

Quantum state tomography (QST) is the procedure for reconstructing unknown quantum states from a series of measurements of different observables. Depending on the physical system, different sets of observables have been used for this procedure. In the case of spin-qubits, the most common procedure is to measure the transverse magnetization of the system as a function of time. Here, we present a different scheme that relies on time-independent observables and therefore does not require measurements at different evolution times, thereby greatly reducing the overall measurement time. To recover the full density matrix, we use a set of unitary operations that transform the density operator elements into the directly measurable observable. We demonstrate the performance of this scheme in the electron-nuclear spin system of the nitrogen vacancy center in diamond.

Supplementary Material available by email [email protected] or [email protected]

References in corpus (15)

• Quantum Computing
• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Quantum technologies with hybrid systems
• Process tomography of ion trap quantum gates
• Quantum process tomography and Linblad estimation of a solid state qubit
• Universal Control of Nuclear Spins Via Anisotropic Hyperfine Interactions
• An alternative quantum fidelity for mixed states of qudits
• Experimental quantum state tomography of a solid state qubit
• Process tomography of dynamical decoupling in a dense optically trapped atomic ensemble
• Switched Control of Electron Nuclear Spin Systems
• Optically detected nuclear quadrupolar interaction of 14N in nitrogen-vacancy centers in diamond
• Experimental study of optimal measurements for quantum state tomography
• Statistical Inference with Quantum Measurements: Methodologies for Nitrogen Vacancy Centers in Diamond
• Estimation of pure quantum states in high dimension at the limit of quantum accuracy through complex optimization and statistical inference
• Towards the speed limit of high fidelity 2-qubit gates

Cited by in corpus (5)

• Experimental quantum pattern recognition in IBMQ and diamond NVs
• Direct Readout of Nitrogen-Vacancy Hybrid-Spin Quantum Register in Diamond by Photon Arrival Time Analysis
• Breaking conservation law enables steady-state entanglement out of equilibrium
• Advancements in Entangled Photon Pairs in 2D Van der Waals Materials for On-chip Quantum Applications
• Theory of Electron Spin Resonance Scanning Tunneling Microscopy: The First Decade