| 1. |
- Eriksson, Karl-Erik, et al.
(författare)
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Bifurcation in Quantum Measurement
- 2017
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Annan publikation (övrigt vetenskapligt/konstnärligt)abstract
- We present a generic model of (non-destructive) quantum measurement. It consists of two-level system μ interacting with a larger system A, in such a way that if μ is initially in one of the chosen basis states, it does not change but makes A change into a corresponding state (entanglement). The μA-interaction is described as a scattering process. Internal (unknown) variables of A may influence the transition amplitudes. It is assumed that the statistics of these variables is such that, in the mean, the μA-interaction is neutral with respect to the chosen basis states. It is then shown that, for a given initial state of μ, in the limit of a large system A, the statistics of the ensemble of available initial states leads to a bifurcation: those initial states of A that are efficient in leading to a final state, are divided into two separated subsets. For each of these subsets, μ ends up in one of the basis states. The probabilities in this branching confirm the Born rule.
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| 2. |
- Alves, Gabriel O., et al.
(författare)
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Time-optimal holonomic quantum computation
- 2022
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Ingår i: Physical review A : covering atomic, molecular, and optical physics and quantum information. - : American Physical Society. - 2469-9926 .- 2469-9934. ; 106
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Tidskriftsartikel (refereegranskat)abstract
- A three-level system can be used in a Λ-type configuration in order to construct a universal set of quantum gates through the use of non-Abelian non-adiabatic geometrical phases. Such construction allows for high- speed operation times which diminish the effects of decoherence. This might be, however, accompanied by a breakdown of the validity of the rotating wave approximation (RWA) due to the comparable time scale between counter rotating terms and pulse length, which greatly affects the dynamics. Here, we investigate the trade- off between dissipative effects and the RWA validity, obtaining the optimal regime for the operation of the holonomic quantum gates.
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| 3. |
- Anandan, Jeeva S., et al.
(författare)
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Reply to Comment on `Geometric phases for mixed states in interferometry'
- 2002
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Ingår i: Physical Review Letters. - 0031-9007 .- 1079-7114. ; 89, s. 268902-
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- The only difference between Bhandari's viewpoint and ours [Phys. Rev. Lett. 85, 2845 (2000)] is that our phase is defined modulo 2π, whereas Bhandari argues that two phases that differ by 2π n, n integer, may be distinguished experimentally in a history-dependent manner. (Reply to the Comment in Phys. Rev. Lett. 89, 268901 (2001) by R. Bhandari.)
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| 4. |
- Andersson, Ole, et al.
(författare)
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Geometric phases for mixed states of the Kitaev chain
- 2016
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Ingår i: Philosophical Transactions. Series A. - : The Royal Society. - 1364-503X .- 1471-2962. ; 374:2069
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Tidskriftsartikel (refereegranskat)abstract
- The Berry phase has found applications in building topological order parameters for certain condensed matter systems. The question whether some geometric phase for mixed states can serve the same purpose has been raised, and proposals are on the table. We analyze the intricate behaviour of Uhlmann’s geometric phase in the Kitaev chain at finite temperature, and then argue that it captures quite different physics from that intended. We also analyze the behaviour of a geometric phase introduced in the context of interferometry. For the Kitaev chain, this phase closely mirrors that of the Berry phase, and we argue that it merits further investigation.
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| 5. |
- André, Tomas, et al.
(författare)
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Dark path holonomic qudit computation
- 2022
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Ingår i: Physical Review A. Atomic, Molecular, and Optical Physics. - : American Physical Society. - 1050-2947 .- 1094-1622. ; 106:6
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Tidskriftsartikel (refereegranskat)abstract
- Nonadiabatic holonomic quantum computation is a method used to implement high-speed quantum gates with non-Abelian geometric phases associated with paths in state space. Due to their noise tolerance, these phases can be used to construct error resilient quantum gates. We extend the holonomic dark path qubit scheme in [M.-Z. Ai et al., Fundam. Res. 2, 661 (2022)] to qudits. Specifically, we demonstrate one- and two-qudit universality by using the dark path technique. Explicit qutrit (d = 3) gates are demonstrated and the scaling of the number of loops with the dimension d is addressed. This scaling is linear and we show how any diagonal qudit gate can be implemented efficiently in any dimension.
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| 6. |
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| 7. |
- Azimi Mousolou, Vahid, et al.
(författare)
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Entanglement duality in spin-spin interactions
- 2022
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Ingår i: Physical Review A: covering atomic, molecular, and optical physics and quantum information. - : American Physical Society (APS). - 2469-9926 .- 2469-9934. ; 106:3
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Tidskriftsartikel (refereegranskat)abstract
- We examine entanglement of thermal states for spin-1/2 dimers in external magnetic fields. Entanglement transition in the temperature-magnetic-field plane demonstrates a duality in spin-spin interactions. This identifies a pair of dual categories of symmetric and antisymmetric dimers with each category classified into toric entanglement classes. The entanglement transition line is preserved from each toric entanglement class to its dual toric class. The toric classification is an indication of the topological signature of the entanglement, which bring about topological stability that could be relevant for quantum information processing.
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| 8. |
- Azimi Mousolou, Vahid, et al.
(författare)
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Entangling power of holonomic gates in atom-based systems
- 2018
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Ingår i: Journal of Physics A. - : IOP Publishing. - 1751-8113 .- 1751-8121. ; 51:47
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Tidskriftsartikel (refereegranskat)abstract
- Entanglement is one of the main resources of quantum computation, and entangling power of a quantum system is a crucial element in the universality and efficiency of a proposed architecture for realization of quantum processing. Our goal here is to study the entangling power of holonomic gates in some particular systems. We explore the holonomy-induced entanglement, by means of nonadiabatic quantum holonomies, through different types of interactions in atom-based systems, namely, the tripod-type interaction induced by the quantum Zeno effect between three-level atoms, as well as the Λ-type interaction arising from dipole–dipole or van der Waals forces between high-lying states of two-level atoms in systems consisting of N optically trapped identical atoms. Our analysis shows that although the two schemes provide completely separate classes of entangling gates, both schemes permit for full entangling power and also in the sense of quantum efficiency both families of entanglers consist of holonomic gates that have the same efficiency in quantum algorithms. Besides, we observe that holonomy-induced entanglement characteristics remarkably depend on the interaction configuration of the system.
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| 9. |
- Azimi Mousolou, Vahid, et al.
(författare)
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Hierarchy of magnon mode entanglement in antiferromagnets
- 2020
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Ingår i: Physical Review B Condensed Matter. - : American Physical Society. - 0163-1829 .- 1095-3795. ; 102:22
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Tidskriftsartikel (refereegranskat)abstract
- Continuous variable entanglement between magnon modes in Heisenberg antiferromagnets with Dzyaloshinskii-Moriya (DM) interaction is examined. Different bosonic modes are identified, which allows us to establish a hierarchy of magnon entanglement. We argue that entanglement between magnon modes is determined by a simple lattice-specific parameter, together with the ratio of the strengths of the DM and Heisenberg exchange interactions, and that magnon entanglement can be detected by means of quantum homodyne techniques. As an illustration of the relevance of our findings for possible entanglement experiments in the solid state, a typical antiferromagnet with the perovskite crystal structure is considered, and it is shown that long wave length magnon modes have a maximal degree of entanglement.
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| 10. |
- Azimi Mousolou, Vahid, et al.
(författare)
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Magnon-magnon entanglement and its quantification via a microwave cavity
- 2021
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Ingår i: Physical Review B. - : American Physical Society. - 2469-9950 .- 2469-9969. ; 104:22
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Tidskriftsartikel (refereegranskat)abstract
- Quantum magnonics is an emerging research field, with great potential for applications in magnon based hybrid systems and quantum information processing. Quantum correlation, such as entanglement, is a central resource in many quantum information protocols that naturally comes about in any study toward quantum technologies. This applies also to quantum magnonics. Here, we investigate antiferromagnetic coupling of two ferromagnetic sublattices that can have two different magnon modes. We show how this may lead to experimentally measurable bipartite continuous-variable magnon-magnon entanglement. The entanglement can be fully characterized via a single squeezing parameter or, equivalently, entanglement parameter. The clear relation between the entanglement parameter and the Einstein, Podolsky, and Rosen (EPR) function of the ground state opens up for experimental quantification magnon-magnon continuous-variable entanglement and EPR nonlocality. We propose a practical experimental realization to measure the EPR function of the ground state, in a setting that relies on magnon-photon interaction in a microwave cavity.
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