Abstract
The uncertainty principle is known as a foundational element of quantum theory, providing a striking lower bound to quantify our prediction for the measured result of two incompatible observables. In this work, we study the thermal evolution of the entropic uncertainty bound in the presence of quantum memory for an inhomogeneous four-qubit spin-star system that is in the thermal regime. Intriguingly, our results show that the entropic uncertainty bound can be controlled and suppressed by adjusting the inhomogeneity parameter of the system.
Highlights
The uncertainty principle is known as a foundational element of quantum theory, providing a striking lower bound to quantify our prediction for the measured result of two incompatible observables
We would like to investigate the thermal evolution of the entropic uncertainty bound by considering two thermal quantum states
We have studied the entropic uncertainty bound in a spin-star system with three peripheral qubits, all affected by an external magnetic field
Summary
The uncertainty principle is known as a foundational element of quantum theory, providing a striking lower bound to quantify our prediction for the measured result of two incompatible observables. A new kind of the EUR in the presence of quantum memory (EUR-QM) has been presented by Berta et al.[7] in which two players, Alice and Bob, play an uncertainty game. In this game, Bob prepares a correlated two-particle state ρAB and he sends particle A to Alice which is correlated to his memory particle
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