Measuring distance between quantum states on a quantum computer
- URL: http://arxiv.org/abs/2103.05301v2
- Date: Thu, 26 Aug 2021 12:18:00 GMT
- Title: Measuring distance between quantum states on a quantum computer
- Authors: A. R. Kuzmak
- Abstract summary: protocols for determining the distances in Hilbert space between pure and mixed quantum states prepared on a quantum computer.
We develop a protocol that allows one to determine the speed of evolution of the spin system simulated by a quantum computer.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose protocols for determining the distances in Hilbert space between
pure and mixed quantum states prepared on a quantum computer. In the case of
pure quantum states, the protocol is based on measuring the square of modulus
of scalar product between certain states. Determination of the distance between
mixed quantum states is reduced to measuring the squares of modules of scalar
products between all pure states included in the mixed states. In addition, we
develop a protocol that allows one to determine the speed of evolution of the
spin system simulated by a quantum computer. These protocols we apply to
measure distances and speeds of evolution of different quantum systems
implemented on the ibmq-santiago quantum computer.
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