Suppressing measurement uncertainty in an inhomogeneous spin star system

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.

Spin‐Chain‐Star Systems: Entangling Multiple Chains of Spin Qubits

“…We show that, by considering the manybody N-wise interactions for each chain, such systems are unitarily equivalent to standard spin-chain star systems, which are remarkably considered and studied for their applications in several fields. [30][31][32][33][34]53]…”

“…The interest towards central spin models has remarkably grown thanks to: I) their suitability in describing the hyperfine interaction in quantum dots [27] and the interactions between nuclear spins and nitrogen-vacancy centers in diamond [28,29] ; II) their broad applicability in different fields like quantum information, [30] quantum metrology and sensing, [31,32] quantum thermodynamics [33] and fundamental aspects. [34] Further, a lots of works have been developed to investigate the quantum correlation and thermal entanglement arising among spins in the star framework, [35][36][37][38][39] as well as the Markovian and non-Markovian dynamics induced by a surrounding bath interacting with the spinstar system. [40][41][42] Recently, the idea of spin-chain-star system has been proposed [43,44] where the control spin occupies the center of a star of M rays (chains), arranged at angular distance 2𝜋∕M, each of which hosts the same sequence of N spins, generally equidistant.…”

Spin-chain-star systems: entangling multiple chains of spin qubits

“…In this section we propose a new class of spin-chain star systems characterized by the presence of only manybody interactions of maximum order. We show that, by considering the many-body N-wise interactions for each chain, such systems are unitarily equivalent to standard spin-chain star systems, which are remarkably considered and studied for their applications in several fields [30][31][32][33][34]53].…”

“…The interest towards central spin models has remarkably grown thanks to: I) their suitability in describing the hyperfine interaction in quantum dots [27] and the interactions between nuclear spins and nitrogen-vacancy centers in diamond [28,29]; II) their broad applicability in different fields like quantum information [30], quantum metrology and sensing [31,32], quantum thermodynamics [33] and fundamental aspects [34].Further, a lots of works have been developed to investigate the quantum correlation and thermal entanglement arising among spins in the star framework [35][36][37][38][39], as well as the Markovian and non-Markovian dynamics induced by a surrounding bath interacting with the spin-star system [40][41][42].…”

Dense Coding and Quantum Memory Assisted Entropic Uncertainty Relations in a Two‐Qubit State Influenced by Dipole and Symmetric Cross Interactions

“…[22] In solid-state and open quantum systems, such as Heisenberg models, the connection between EUR-QM and some quantum correlations has been studied. [23][24][25][26][27][28][29] The dynamics and correlations of EUR-QM, entanglement and mixedness for the Heisenberg chain model with with Dzyaloshinskii-Moriya (DM) interaction have been studied. [30] In the presence of a perfectly reflecting plane boundary, the dynamics of EUR-QM for a two-level atom interacted with fluctuating electromagnetic field have been investigated.…”