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  • 1
    Online Resource
    Online Resource
    Three Favourite Dimensions of Andrzej: Along His Path to a Scientific Discovery
    World Scientific Pub Co Pte Ltd ; 2021
    In:  Open Systems & Information Dynamics Vol. 28, No. 04 ( 2021-12)
    Details
    In: Open Systems & Information Dynamics, World Scientific Pub Co Pte Ltd, Vol. 28, No. 04 ( 2021-12)
    Abstract: Some achievements of the late Andrzej Kossakowski in the field of statistical physics and quantum theory are presented. We recall also his attempt to find an analytical solution of the 3-dimensional Ising model.
    Type of Medium: Online Resource
    ISSN: 1230-1612 , 1793-7191
    URL: Article
    DOI: 10.1142/S1230161221500177
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2021
    detail.hit.zdb_id: 2008114-5
    SSG: 11
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  • 2
    Online Resource
    Online Resource
    Symmetric multiqudit states: Stars, entanglement, and rotosensors
    American Physical Society (APS) ; 2021
    In:  Physical Review A Vol. 104, No. 1 ( 2021-7-6)
    Details
    In: Physical Review A, American Physical Society (APS), Vol. 104, No. 1 ( 2021-7-6)
    Type of Medium: Online Resource
    ISSN: 2469-9926 , 2469-9934
    URL: Article
    DOI: 10.1103/PhysRevA.104.012407
    RVK:
    UA 6500.3A
    Language: English
    Publisher: American Physical Society (APS)
    Publication Date: 2021
    detail.hit.zdb_id: 2844156-4
    detail.hit.zdb_id: 209769-2
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  • 3
    Online Resource
    Online Resource
    Symmetries of quantum evolutions
    American Physical Society (APS) ; 2021
    In:  Physical Review Research Vol. 3, No. 3 ( 2021-7-6)
    Details
    In: Physical Review Research, American Physical Society (APS), Vol. 3, No. 3 ( 2021-7-6)
    Type of Medium: Online Resource
    ISSN: 2643-1564
    URL: Article
    DOI: 10.1103/PhysRevResearch.3.033028
    Language: English
    Publisher: American Physical Society (APS)
    Publication Date: 2021
    detail.hit.zdb_id: 3004165-X
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  • 4
    Online Resource
    Online Resource
    Perfect quantum-state synchronization
    American Physical Society (APS) ; 2021
    In:  Physical Review A Vol. 104, No. 1 ( 2021-7-12)
    Details
    In: Physical Review A, American Physical Society (APS), Vol. 104, No. 1 ( 2021-7-12)
    Type of Medium: Online Resource
    ISSN: 2469-9926 , 2469-9934
    URL: Article
    DOI: 10.1103/PhysRevA.104.012410
    RVK:
    UA 6500.3A
    Language: English
    Publisher: American Physical Society (APS)
    Publication Date: 2021
    detail.hit.zdb_id: 2844156-4
    detail.hit.zdb_id: 209769-2
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  • 5
    Online Resource
    Online Resource
    Special issue in honour of the life and work of Fritz Haake
    IOP Publishing ; 2021
    In:  Journal of Physics A: Mathematical and Theoretical Vol. 54, No. 13 ( 2021-04-06), p. 130301-
    Details
    In: Journal of Physics A: Mathematical and Theoretical, IOP Publishing, Vol. 54, No. 13 ( 2021-04-06), p. 130301-
    Type of Medium: Online Resource
    ISSN: 1751-8113 , 1751-8121
    URL: Article
    DOI: 10.1088/1751-8121/abe167
    Language: Unknown
    Publisher: IOP Publishing
    Publication Date: 2021
    detail.hit.zdb_id: 1363010-6
    detail.hit.zdb_id: 209217-7
    detail.hit.zdb_id: 3115688-5
    SSG: 11
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  • 6
    Online Resource
    Online Resource
    Universal witnesses of vanishing energy gap
    IOP Publishing ; 2021
    In:  Europhysics Letters Vol. 136, No. 3 ( 2021-11-01), p. 30003-
    Details
    In: Europhysics Letters, IOP Publishing, Vol. 136, No. 3 ( 2021-11-01), p. 30003-
    Abstract: Energy gap, the difference between the energy of the ground-state of a given Hamiltonian and the energy of its first excited state, is a parameter of a critical importance in analysis of phase transitions and adiabatic quantum computation. We present a concrete technique to determine an upper bound for the energy gap of a Hamiltonian H 0 based on properties of the set of expectation values of H 0 and an additional auxiliary Hamiltonian V . This formalism can be applied to obtain an effective criterion of gaplessness, which we illustrate with a concrete example of the XY model —a physical system with vanishing energy gap.
    Type of Medium: Online Resource
    ISSN: 0295-5075 , 1286-4854
    URL: Article
    DOI: 10.1209/0295-5075/ac35f4
    Language: Unknown
    Publisher: IOP Publishing
    Publication Date: 2021
    detail.hit.zdb_id: 1465366-7
    detail.hit.zdb_id: 165776-8
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  • 7
    Online Resource
    Online Resource
    Optimal allocation of quantum resources
    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften ; 2021
    In:  Quantum Vol. 5 ( 2021-03-10), p. 407-
    Details
    In: Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 5 ( 2021-03-10), p. 407-
    Abstract: The optimal allocation of resources is a crucial task for their efficient use in a wide range of practical applications in science and engineering. This paper investigates the optimal allocation of resources in multipartite quantum systems. In particular, we show the relevance of proportional fairness and optimal reliability criteria for the application of quantum resources. Moreover, we present optimal allocation solutions for an arbitrary number of qudits using measurement incompatibility as an exemplary resource theory. Besides, we study the criterion of optimal equitability and demonstrate its relevance to scenarios involving several resource theories such as nonlocality vs local contextuality. Finally, we highlight the potential impact of our results for quantum networks and other multi-party quantum information processing, in particular to the future Quantum Internet.
    Type of Medium: Online Resource
    ISSN: 2521-327X
    URL: Journal
    URL: Article
    DOI: 10.22331/q
    DOI: 10.22331/q-2021-03-10-407
    Language: English
    Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
    Publication Date: 2021
    detail.hit.zdb_id: 2931392-2
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  • 8
    Online Resource
    Online Resource
    Bipartite quantum measurements with optimal single-sided distinguishability
    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften ; 2021
    In:  Quantum Vol. 5 ( 2021-04-26), p. 442-
    Details
    In: Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 5 ( 2021-04-26), p. 442-
    Abstract: We analyse orthogonal bases in a composite N × N Hilbert space describing a bipartite quantum system and look for a basis with optimal single-sided mutual state distinguishability. This condition implies that in each subsystem the N 2 reduced states form a regular simplex of a maximal edge length, defined with respect to the trace distance. In the case N = 2 of a two-qubit system our solution coincides with the elegant joint measurement introduced by Gisin. We derive explicit expressions of an analogous constellation for N = 3 and provide a general construction of N 2 states forming such an optimal basis in H N ⊗ H N . Our construction is valid for all dimensions for which a symmetric informationally complete (SIC) generalized measurement is known. Furthermore, we show that the one-party measurement that distinguishes the states of an optimal basis of the composite system leads to a local quantum state tomography with a linear reconstruction formula. Finally, we test the introduced tomographical scheme on a complete set of three mutually unbiased bases for a single qubit using two different IBM machines.
    Type of Medium: Online Resource
    ISSN: 2521-327X
    URL: Journal
    URL: Article
    DOI: 10.22331/q
    DOI: 10.22331/q-2021-04-26-442
    Language: English
    Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
    Publication Date: 2021
    detail.hit.zdb_id: 2931392-2
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  • 9
    Online Resource
    Online Resource
    Generating random quantum channels
    AIP Publishing ; 2021
    In:  Journal of Mathematical Physics Vol. 62, No. 6 ( 2021-06-01)
    Details
    In: Journal of Mathematical Physics, AIP Publishing, Vol. 62, No. 6 ( 2021-06-01)
    Abstract: Several techniques of generating random quantum channels, which act on the set of d-dimensional quantum states, are investigated. We present three approaches to the problem of sampling of quantum channels and show that they are mathematically equivalent. We discuss under which conditions they give the uniform Lebesgue measure on the convex set of quantum operations and compare their advantages and computational complexity and demonstrate which of them is particularly suitable for numerical investigations. Additional results focus on the spectral gap and other spectral properties of random quantum channels and their invariant states. We compute the mean values of several quantities characterizing a given quantum channel, including its unitarity, the average output purity, and the 2-norm coherence of a channel, averaged over the entire set of the quantum channels with respect to the uniform measure. An ensemble of classical stochastic matrices obtained due to super-decoherence of random quantum stochastic maps is analyzed, and their spectral properties are studied using the Bloch representation of a classical probability vector.
    Type of Medium: Online Resource
    ISSN: 0022-2488 , 1089-7658
    URL: Article
    DOI: 10.1063/5.0038838
    RVK:
    UA 4660
    Language: English
    Publisher: AIP Publishing
    Publication Date: 2021
    detail.hit.zdb_id: 1472481-9
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  • 10
    Online Resource
    Online Resource
    Log-convex set of Lindblad semigroups acting on N -level system
    AIP Publishing ; 2021
    In:  Journal of Mathematical Physics Vol. 62, No. 7 ( 2021-07-01)
    Details
    In: Journal of Mathematical Physics, AIP Publishing, Vol. 62, No. 7 ( 2021-07-01)
    Abstract: We analyze the set ANQ of mixed unitary channels represented in the Weyl basis and accessible by a Lindblad semigroup acting on an N-level quantum system. General necessary and sufficient conditions for a mixed Weyl quantum channel of an arbitrary dimension to be accessible by a semigroup are established. The set ANQ is shown to be log-convex and star-shaped with respect to the completely depolarizing channel. A decoherence supermap acting in the space of Lindblad operators transforms them into the space of Kolmogorov generators of classical semigroups. We show that for mixed Weyl channels, the super-decoherence commutes with the dynamics so that decohering a quantum accessible channel, we obtain a bistochastic matrix from the set ANC of classical maps accessible by a semigroup. Focusing on three-level systems, we investigate the geometry of the sets of quantum accessible maps, its classical counterpart, and the support of their spectra. We demonstrate that the set A3Q is not included in the set U3Q of quantum unistochastic channels, although an analogous relation holds for N = 2. The set of transition matrices obtained by super-decoherence of unistochastic channels of order N ≥ 3 is shown to be larger than the set of unistochastic matrices of this order and yields a motivation to introduce the larger sets of k-unistochastic matrices.
    Type of Medium: Online Resource
    ISSN: 0022-2488 , 1089-7658
    URL: Article
    DOI: 10.1063/5.0009745
    RVK:
    UA 4660
    Language: English
    Publisher: AIP Publishing
    Publication Date: 2021
    detail.hit.zdb_id: 1472481-9
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