Experimental demonstration of selective quantum process tomography on an NMR quantum information processor
arXiv:1707.06739 · doi:10.1103/PhysRevA.97.022311
Abstract
We present the first NMR implementation of a scheme for selective and efficient quantum process tomography without ancilla. We generalize this scheme such that it can be implemented efficiently using only a set of measurements involving product operators. The method allows us to estimate any element of the quantum process matrix to a desired precision, provided a set of quantum states can be prepared efficiently. Our modified technique requires fewer experimental resources as compared to the standard implementation of selective and efficient quantum process tomography, as it exploits the special nature of NMR measurements to allow us to compute specific elements of the process matrix by a restrictive set of sub-system measurements.To demonstrate the efficacy of our scheme, we experimentally tomograph the processes corresponding to `no operation', a controlled-NOT (CNOT), and a controlled-Hadamard gate on a two-qubit NMR quantum information processor, with high fidelities.
8 pages revtex minor revision
References in corpus (31)
- Exact and Approximate Unitary 2-Designs: Constructions and Applications
- A new proof for the existence of mutually unbiased bases
- Quantum process tomography of a controlled-NOT gate
- Quantum Process Tomography: Resource Analysis of Different Strategies
- Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing
- Ancilla-assisted quantum process tomography
- Symmetrised Characterisation of Noisy Quantum Processes
- Quantum Process Tomography of a Universal Entangling Gate Implemented with Josephson Phase Qubits
- Randomized benchmarking and process tomography for gate errors in a solid-state qubit
- Realization of quantum process tomography in NMR
- Process tomography of ion trap quantum gates
- Quantum Process Tomography of the Quantum Fourier Transform
- Mutually unbiased binary observable sets on N qubits
- Experimental Realization of an Order-Finding Algorithm with an NMR Quantum Computer
- Direct Characterization of Quantum Dynamics
- Characterization of a two-transmon processor with individual single-shot qubit readout
- Quantum process tomography and Linblad estimation of a solid state qubit
- Systematic errors in current quantum state tomography tools
- Protected quantum computing: Interleaving gate operations with dynamical decoupling sequences
- Direct Characterization of Quantum Dynamics: General Theory
- Exploiting quantum parallelism of entanglement for a complete experimental quantum characterization of a single qubit device
- Selective and Efficient Quantum Process Tomography
- Two-qubit decoherence mechanisms revealed via quantum process tomography
- Constructing valid density matrices on an NMR quantum information processor via maximum likelihood estimation
- Single-Shot Quantum Process Tomography
- Investigating Bias in Maximum Likelihood Quantum State Tomography
- Reconstruction of Markovian Master Equation parameters through symplectic tomography
- Entanglement detection on an NMR quantum information processor using random local measurements
- Error characterization in Quantum Information Processing: a protocol for analyzing spatial correlations and its experimental implementation
- Engineered Decoherence: Characterization and Suppression
- Quantum process tomography with informational incomplete data of two -coupled heterogeneous spins relaxation in a time window much greater than
Cited by in corpus (24)
- Wigner process tomography: Visualization of spin propagators and their spinor properties
- Objective Compressive Quantum Process Tomography
- Universal compressive characterization of quantum dynamics
- Implementing efficient selective quantum process tomography of superconducting quantum gates on the IBM quantum processor
- Quantum battery based on dipole-dipole interaction and external driving field
- Complete characterization of the directly implementable quantum gates used in the IBM quantum processors
- Simulating open quantum dynamics on an NMR quantum processor using the Sz.-Nagy dilation algorithm
- Controlling NMR spin systems for quantum computation
- Selective and Efficient Quantum Process Tomography in Arbitrary Finite Dimension
- Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor
- Direct tomography of quantum states and processes via weak measurements of Pauli spin operators on an NMR quantum processor
- Neural network assisted quantum state and process tomography using limited data sets
- Efficient experimental characterization of quantum processes via compressed sensing on an NMR quantum processor
- Pauli transfer matrix direct reconstruction: channel characterization without full process tomography
- Experimental quantum state transfer of an arbitrary single-qubit state on a cycle with four vertices using a coined quantum random walk
- Not all entangled states are useful for ancilla-assisted quantum process tomography
- Benchmarking quantum tomography completeness and fidelity with machine learning
- Experimental characterization of quantum processes: a selective and efficient method in arbitrary finite dimension
- Non-Markovian open dynamics from collision models
- PULSEE: A software for the quantum simulation of an extensive set of magnetic resonance observables
- True experimental reconstruction of quantum states and processes via convex optimization
- Quantum process tomography of adiabatic and superadiabatic stimulated Raman passage
- Selective and efficient quantum state tomography for multi-qubit systems
- Implementation of controlled-NOT quantum gate by nonlinear coupled electro-nano-optomechanical oscillators