Fault-tolerant composite Householder reflection
arXiv:1605.04977 · doi:10.1088/0953-4075/48/13/135502
Abstract
We propose a fault-tolerant implementation of the quantum Householder reflection, which is a key operation in various quantum algorithms, quantum-state engineering, generation of arbitrary unitaries, and entanglement characterization. We construct this operation using the modular approach of composite pulses and a relation between the Householder reflection and the quantum phase gate. The proposed implementation is highly insensitive to variations in the experimental parameters, which makes it suitable for high-fidelity quantum information processing.
5 pages, 3 figures
References in corpus (15)
- Entanglement detection
- Fault-Tolerant Quantum Dynamical Decoupling
- Quantum Computing with NMR
- Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
- Coherent pulsed excitation of degenerate multistate systems: Exact analytic solutions
- Engineering of arbitrary U(N) transformations by quantum Householder reflections
- Extension of the Morris-Shore transformation to multilevel ladders
- Robust CNOT gates from almost any interaction
- Time-efficient implementation of quantum search with qudits
- High-fidelity error-resilient composite phase gates
- Geometric Aspects of Composite Pulses
- Navigation between quantum states by quantum mirrors
- Simple implementation of a quantum search with trapped ions
- Highly efficient broadband polarization retarders and tunable polarization filters made of composite stacks of ordinary wave plates
- Variable Ultra-broadband and Narrowband Composite Polarization Retarders