Estimation of pure states using three measurement bases
- URL: http://arxiv.org/abs/2006.03219v1
- Date: Fri, 5 Jun 2020 03:28:51 GMT
- Title: Estimation of pure states using three measurement bases
- Authors: L. Zambrano, L. Pereira, D. Mart\'inez, G. Ca\~nas, G. Lima and A.
Delgado
- Abstract summary: We introduce a new method to estimate unknown pure $d$-dimensional quantum states using the probability distributions associated with only three measurement bases.
The viability of the protocol is experimentally demonstrated using two different and complementary high-dimensional quantum information platforms.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We introduce a new method to estimate unknown pure $d$-dimensional quantum
states using the probability distributions associated with only three
measurement bases. Measurement results of $2d$ projectors are employed to
generate a set of $2^{d-1}$ possible states, the likelihood of which is
evaluated using the measurement results of the $d$ remaining projectors. The
state with the highest likelihood is the estimate of the unknown state. The
method estimates all pure states but a null-measure set. The viability of the
protocol is experimentally demonstrated using two different and complementary
high-dimensional quantum information platforms. First, by exploring the
photonic path-encoding strategy, we validate the method on a single
8-dimensional quantum system. Then, we resort to the five superconducting qubit
IBM quantum processor to demonstrate the high performance of the method in the
multipartite scenario.
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