Quantum State Tomography and Quantum Games

TL;DR

This paper introduces a novel method for single qubit quantum state tomography by leveraging a generalized quantization scheme for games, enabling the measurement and reconstruction of unknown quantum states.

Contribution

It presents a new technique that uses quantum game concepts to perform quantum state tomography without strategic competition.

Findings

The method accurately reconstructs unknown quantum states.

It relates quantum state parameters to payoffs in a game framework.

The technique simplifies quantum state measurement processes.

Abstract

We develop a technique for single qubit quantum state tomography using the mathematical setup of generalized quantization scheme for games. In our technique Alice sends an unknown pure quantum state to Bob who appends it with |0><0| and then applies the unitary operators on the appended quantum state and finds the payoffs for Alice and himself. It is shown that for a particular set of unitary operators these elements become equal to Stokes parameters for an unknown quantum state. In this way an unknown quantum state can be measured and reconstructed. Strictly speaking this technique is not a game as no strategic competitions are involved.