2020
DOI: 10.1103/physrevresearch.2.042014
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Engineering two-qubit mixed states with weak measurements

Abstract: It is known that protocols based on weak measurements can be used to steer quantum systems into predesignated pure states. Here we show that weak-measurement-based steering protocols can be harnessed for on-demand engineering of mixed states. In particular, through a continuous variation of the protocol parameters, one can guide a classical target state to a discorded one, and further on, toward an entangled target state.

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Cited by 15 publications
(7 citation statements)
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References 59 publications
(99 reference statements)
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“…Consider the context of passive (blind) measurement-induced steering, which, in the continuum time limit, leads to Lindbladian dynamics. Then, the addition of Hamiltonian dynamics enriches the variability of steering, allowing, for example, to obtain mixed states by design [35]. It is intriguing to investigate how the addition of Hamiltonian dynamics extends or improves active steering, thus marrying the frameworks of closed-loop quantum control for Hamiltonian-based state preparation and active-decision measurement-based steering.…”
Section: Discussionmentioning
confidence: 99%
“…Consider the context of passive (blind) measurement-induced steering, which, in the continuum time limit, leads to Lindbladian dynamics. Then, the addition of Hamiltonian dynamics enriches the variability of steering, allowing, for example, to obtain mixed states by design [35]. It is intriguing to investigate how the addition of Hamiltonian dynamics extends or improves active steering, thus marrying the frameworks of closed-loop quantum control for Hamiltonian-based state preparation and active-decision measurement-based steering.…”
Section: Discussionmentioning
confidence: 99%
“…where |i represent the eigenstates of the charge operator ni and N is the total number of charge states. The Hamiltonian (22) can thus be written in the charge basis {|n 1 , n 2 , n 3 } and its diagonalization gives the eigenvalues which are plotted in Fig. 3 against the external flux φ ext , for three different parameter sets where we have assumed φ ext = φ ext,i , i = 1, 2, 3.…”
Section: Hamiltonian and Eigenspectrummentioning
confidence: 99%
“…Due to an explicit time-dependence, of course, the system stays in the ground state for a shorter period, 1 ns. However, we may prolong this time by employing the ideas from weak measurement theory and quantum Zeno effect [22].…”
Section: Survival and Transition Probabilitiesmentioning
confidence: 99%
“…Various types of measurements have been considered: local projective measurements, local weak measurements that only slightly perturb the system (for their recent applications in other contexts, see, e.g., Refs. [5,[40][41][42][43][44][45][46][47][48][49]), non-local measurements of several sites of the system, and global measurements that act on the many-body system as a whole. The main diagnostic tool for the measurement-induced entanglement transition is the behavior of the entanglement entropy averaged over the measurement runs, but other indicators, such as mutual information or entanglement negativity, have also been used to explore the phenomenon.…”
Section: Introductionmentioning
confidence: 99%