Oxford University Press eBooks, Journal Year: 2023, Volume and Issue: unknown, P. v - v
Published: Sept. 7, 2023
Oxford University Press eBooks, Journal Year: 2023, Volume and Issue: unknown
Published: Sept. 7, 2023
Abstract Based on a series of courses taught by the authors, this theoretical-physics textbook takes reader journey from beginnings quantum theory in early twentieth century to realm quantum-information processing twenty-first. It provides an introductory text mechanics and information for undergraduate students physics related subjects, but also serves as resource graduate who want engage with more advanced topics, while offering collection derivations, proofs, technical methods, references experienced readers engaged teaching active research.
Language: Английский
Citations
4
Elsevier eBooks, Journal Year: 2024, Volume and Issue: unknown, P. 135 - 150
Published: Oct. 3, 2024
Citations
1
Journal of Physics A Mathematical and Theoretical, Journal Year: 2023, Volume and Issue: 56(25), P. 255303 - 255303
Published: May 12, 2023
Robustness measures are increasingly prominent resource quantifiers that have been introduced for quantum theories such as entanglement and coherence. Despite the generality of these measures, their usefulness is hindered by fact some mathematical properties remain unclear, especially when set resource-free states non-convex. In this paper, we investigate continuity different robustness functions. We show depends on shape free states. particular, demonstrate in many cases, star-convexity sufficient Lipschitz-continuity robustness, provide specific examples sets leading to non-continuous measures. Finally, illustrate applicability our results defining a teleportability discord.
Language: Английский
Citations
1
Oxford University Press eBooks, Journal Year: 2023, Volume and Issue: unknown, P. 137 - 158
Published: Sept. 7, 2023
Abstract In this chapter we introduce the concept of orbital angular momentum into mathematical language quantum mechanics. We discuss commutation relations corresponding operators and their roles as generators rotations in context theory Lie groups algebras, focusing on three-dimensional rotation group SO(3). further examine how scalar vector-valued transform under spatial rotations. then turn to derivation eigenfunctions eigenvalues angular-momentum operators, for which follow a dual approach analogy that employed harmonic oscillator Chapter 5. Using both algebraic ladder-operator method an analytical using spherical polar coordinates discover relevant azimuthal magnetic numbers relation harmonics Legendre polynomials
Language: Английский
Citations
1
Oxford University Press eBooks, Journal Year: 2023, Volume and Issue: unknown, P. 593 - 626
Published: Sept. 7, 2023
Abstract This chapter takes a closer look at entanglement in multipartite systems. An examination of pure tripartite systems serves starting point from which we discover the equivalence classes Greenberger-Horne-Zeilinger (GHZ) states and W states. We then continue with mixed-state case discuss notions full separability, partition-separability biseparability versus genuine entanglement, before stating GHZ theorem formulation following Mermin. For three or more parties formulate definitions for k-separability (GME), as well k-producibility depth, followed by prominent examples GME such generalized Dicke give an overview problem detecting using various linear non-linear witnesses, lifted PPT mixers, discussing challenges characterization quantification entanglement. close analysing phenomenon entangled
Language: Английский
Citations
1
Research Square (Research Square), Journal Year: 2024, Volume and Issue: unknown
Published: Feb. 2, 2024
Abstract In quantum networks, residual states remaining after information processing can be valuable resources. Efficiently recycling these to extract resources such as genuine multipartite entanglement and Einstein-Podolsky-Rosen pairs is essential for optimizing network performance. Our work demonstrates a tripartite distillation scheme using an eight-photon platform, showcasing activation phenomena unique systems. We successfully generate three-photon genuinely entangled state from two bi-separable through local operations classical communication, illustrating activation. Furthermore, we extend our capable of extracting initial lacking this capability, revealing new phenomenon. findings offer not only practical applications networks but also deeper theoretical understanding structures.
Language: Английский
Citations
0
Physical review. A/Physical review, A, Journal Year: 2024, Volume and Issue: 109(6)
Published: June 3, 2024
Quantum teleportation is an essential application of quantum entanglement. The examination fidelity in two-party standard schemes reveals a critical threshold distinguishing separable and entangled states. For states, their fidelities cannot exceed the threshold, emphasizing significance We extend this analysis to multi-party scenarios known as controlled teleportation. Our study provides thresholds that $N$-qudit $k$-separable states scheme, where $N \ge 3$ $2 \le k N$. This not only establishes for utilizing given state resource but also enhances our understanding influence entanglement structure on performance. In addition, we show genuine multipartite prerequisite achieving high capability.
Language: Английский
Citations
0
Physical review. A/Physical review, A, Journal Year: 2024, Volume and Issue: 110(1)
Published: July 1, 2024
We introduce a class of entangled subspaces: completely subspaces entanglement depth $k$ $(k\text{\ensuremath{-}}\text{CESs})$. These are multipartite Hilbert spaces containing only pure states with an at least $k$. present efficient construction $k\text{\ensuremath{-}}\text{CESs}$ any achievable dimensionality in scenario. Further, we discuss the relation between these and unextendible product bases (UPBs). In particular, establish that there is nontrivial bound on cardinality UPB whose orthocomplement $k\text{\ensuremath{-}}\text{CES}$. existence such UPBs for qubit systems.
Language: Английский
Citations
0
arXiv (Cornell University), Journal Year: 2022, Volume and Issue: unknown
Published: Jan. 1, 2022
Quantum networks lead to novel notions of locality and correlations an important problem concerns the question which quantum states can be experimentally prepared with a given network structure devices not. We prove that all multi-qubit graph arising from connected cannot originate any bipartite sources, as long feed-forward memories are not available. Moreover, fidelity state exceed $9/10$. Similar results also established for large class multi-qudit states.
Language: Английский
Citations
2
Quantum, Journal Year: 2022, Volume and Issue: 6, P. 722 - 722
Published: May 27, 2022
We consider the distribution of high-dimensional entangled states to multiple parties via noisy channels and subsequent probabilistic conversion these desired target using stochastic local operations classical communication. show that such state-conversion protocols can be enhanced by embedded channel-estimation routines at no additional cost in terms number copies distributed states. The defining characteristic our strategy is use those for which was unsuccessful estimation noise, thus allowing one counteract its detrimental effect on successfully converted copies. Although this idea generalizes various more complex situations, we focus realistic scenario, where only finitely many are not required process simultaneously. In particular, investigate performance so-called one-successful-branch protocols, applied sequentially single an adaptive Bayesian strategy. Finally, compare general but less easily practically implementable strategies involving distillation quantum memories
Language: Английский
Citations
1