Implementation of generalized measurements on a qudit via quantum walks
arXiv:1905.11819 · doi:10.1103/PhysRevA.99.062342
Abstract
Quantum measurements play a fundamental role in quantum mechanics and quantum information processing, but it is not easy to implement generalized measurements, the most powerful measurements allowed by quantum mechanics. Here we propose a simple recipe for implementing generalized measurements on a qudit via quantum walks. With this recipe, any discrete quantum measurement can be implemented via a one-dimensional discrete quantum walk; the number of steps is only two times the number of measurement outcomes. As an illustration, we present a unified solution for implementing arbitrary symmetric informationally complete measurements in dimension 3.
arXiv comment11 pages and 1 figure; published in PRA
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- Experimental Realization of Genuine Three-copy Collective Measurements for Optimal Information Extraction
- Generalized measurements on qubits in quantum randomness certification and expansion
- Experimental Masking of Real Quantum States
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- Projective measurements under qubit quantum channels
- Generalized quantum teleportation of shared quantum secret with quantum walks