Robust and Efficient High-Dimensional Quantum State Tomography.
@article{Rambach2021RobustAE, title={Robust and Efficient High-Dimensional Quantum State Tomography.}, author={Markus Rambach and Mahdi Qaryan and Michael Kewming and Christopher Ferrie and Andrew G. White and Jacquiline Romero}, journal={Physical review letters}, year={2021}, volume={126 10}, pages={ 100402 } }
The exponential growth in Hilbert space with increasing size of a quantum system means that accurately characterizing the system becomes significantly harder with system dimension d. We show that self-guided tomography is a practical, efficient, and robust technique of measuring higher-dimensional quantum states. The achieved fidelities are over 99.9% for qutrits (d=3) and ququints (d=5), and 99.1% for quvigints (d=20)-the highest values ever realized for qudit pure states. We also show…
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References
SHOWING 1-10 OF 43 REFERENCES
Characterization of high-dimensional entangled systems via mutually unbiased measurements.
- Physics, Computer SciencePhysical review letters
- 2013
It is shown experimentally that efficient quantum state reconstruction of a high-dimensional multipartite quantum system can be performed by considering only the MUBs of the individual parts, and the benefit of this method is that MUTs need to be defined for the small Hilbert spaces of the subsystems rather than for the large space of the overall system.
Qudit quantum-state tomography
- Physics, Mathematics
- 2002
Recently quantum tomography has been proposed as a fundamental tool for prototyping a few qubit quantum device. It allows the complete reconstruction of the state produced from a given input into the…
Tomography of the quantum state of photons entangled in high dimensions
- Physics
- 2011
Systems entangled in high dimensions have recently been proposed as important tools for various quantum information protocols, such as multibit quantum key distribution and loophole-free tests of…
Experimental quantum state tomography via compressed sampling.
- PhysicsPhysical review letters
- 2012
The results show that much fewer measurements than the standard tomography are sufficient to obtain high fidelity, and the method of maximizing likelihood is more accurate and noise robust than the original reconstruction method of compressed sampling.
Simplifying quantum logic using higher-dimensional Hilbert spaces
- Physics
- 2009
Quantum computation promises to solve fundamental, yet otherwise intractable, problems across a range of active fields of research. Recently, universal quantum logic-gate sets—the elemental building…
Experimental realization of self-guided quantum process tomography
- Computer SciencePhysical Review A
- 2020
An alternative self-guided algorithm for quantum process tomography, tuned for the task of finding an unknown unitary process, that requires less space and time since there is no post-processing of the data; requires only a single input state and measurement; and provides on-the-fly diagnostic information while the experiment is running.
Experimental Demonstration of Self-Guided Quantum Tomography.
- PhysicsPhysical review letters
- 2016
Self-guided quantum tomography performed on polarization photonic qubits is experimentally demonstrated, demonstrating robustness against statistical noise and measurement errors on single-qubit and entangled two-qu bit states.
Adaptive quantum state tomography improves accuracy quadratically.
- PhysicsPhysical review letters
- 2013
We introduce a simple protocol for adaptive quantum state tomography, which reduces the worst-case infidelity [1-F(ρ,ρ)] between the estimate and the true state from O(1/sqrt[N]) to O(1/N). It uses a…
Magic-State Distillation in All Prime Dimensions Using Quantum Reed-Muller Codes
- Computer Science
- 2012
The five-dimensional protocol is, by many measures, the best magic state distillation scheme yet discovered and the efficiency measure know as "yield", where, for a large region of parameters, it outperforms its qubit counterpart by many orders of magnitude.
Emulation of a Quantum Spin with a Superconducting Phase Qudit
- PhysicsScience
- 2009
The operation of a superconducting phase qudit with a number of levels d up to d = 5 is demonstrated and how to manipulate and measure the qudit state is shown, including simultaneous control of multiple transitions.