Transfer of d-Level quantum states through spin chains by random swapping

We generalize an already proposed protocol for quantum state transfer to spin chains of arbitrary spin. An arbitrary unknown $d-$ level state is transferred through a chain with rather good fidelity by the natural dynamics of the chain. We compare the performance of this protocol for various values of $d$. A by-product of our study is a much simpler method for picking up the state at the destination as compared with the one proposed previously. We also discuss entanglement distribution through such chains and show that the quality of entanglement transition increases with the number of levels $d$.Comment: More discussion about the ground state has been added. Accepted in Physical Review

Scaling of Tripartite Entanglement at Impurity Quantum Phase Transitions

The emergence of a diverging length scale in many-body systems at a quantum phase transition implies that total entanglement has to reach its maximum there. In order to fully characterize this, one has to consider multipartite entanglement as, for instance, bipartite entanglement between individual particles fails to signal this effect. However, quantification of multipartite entanglement is very hard, and detecting it may not be possible due to the lack of accessibility to all individual particles. For these reasons it will be more sensible to partition the system into relevant subsystems, each containing a few to many spins, and study entanglement between those constituents as a coarse-grain picture of multipartite entanglement between individual particles. In impurity systems, famously exemplified by two-impurity and two-channel Kondo models, it is natural to divide the system into three parts, namely, impurities and the left and right bulks. By exploiting two tripartite entanglement measures, based on negativity, we show that at impurity quantum phase transitions the tripartite entanglement diverges and shows scaling behavior. While the critical exponents are different for each tripartite entanglement measure, they both provide very similar critical exponents for the two-impurity and the two-channel Kondo models, suggesting that they belong to the same universality class

Evaluating the Decoding the Disciplines paradigm that is used for developing disciplinary habits of mind: A systematic literature review

This article reports on a systematic review of the literature to evaluate the Decoding the Disciplines paradigm (henceforth “DtD”) in the development of expert disciplinary habits of mind in student learning. A search was conducted utilising various databases (EBSCOhost, DOAJ, JSTOR, SAGE Journals Online, Scopus, Wiley Online and uKwazi) (Library Search Engine) for the period 2004 to 2020. More than 500 papers, retrieved from nine scholarly databases, were screened, based on title and abstract, resulting in 33 shortlisted papers for analysis. The researcher and one independent reviewer assessed the methodological quality of the shortlisted articles. Five countries are represented in this study. The results of this review highlighted the impact that the DtD has on the development of expert ways of thinking in learners. The case studies attest to the fact that several insights, namely 1) Concretising abstract phenomena; 2) Overcoming emotional bottlenecks; 3) Making expert habits of mind explicit to the learner; 4) Trans-disciplinary approaches and the T-Shaped learner and 5) Synergies between threshold concepts and information literacy habits of mind, are capabilities that the DtD process could cultivate in student learning to overcome complex bottlenecks

Entanglement probe of two-impurity Kondo physics in a spin chain

We propose that real-space properties of the two-impurity Kondo model can be obtained from an effective spin model where two single-impurity Kondo spin chains are joined via an RKKY interaction between the two impurity spins. We then use a DMRG approach, valid in all ranges of parameters, to study its features using two complementary quantum-entanglement measures, the negativity and the von Neumann entropy. This non-perturbative approach enables us to uncover the precise dependence of the spatial extent $\xi_K$ of the Kondo screening cloud with the Kondo and RKKY couplings. Our results reveal an exponential suppression of the Kondo temperature $T_K \sim 1/\xi_K$ with the size of the effective impurity spin in the limit of large ferromagnetic RKKY coupling, a striking display of "Kondo resonance narrowing" in the two-impurity Kondo model. We also show how the antiferromagnetic RKKY interaction produces an effective decoupling of the impurities from the bulk already for intermediate strengths of this interaction, and, furthermore, exhibit how the non-Fermi liquid quantum critical point is signaled in the quantum entanglement between various parts of the system.Comment: 5 pages, 5 figure

Quantum state transfer through a spin chain in a multi-excitation subspace

We investigate the quality of quantum state transfer through a uniformly coupled antiferromagnetic spin chain in a multi-excitation subspace. The fidelity of state transfer using multi-excitation channels is found to compare well with communication protocols based on the ground state of a spin chain with ferromagnetic interactions. Our numerical results support the conjecture that the fidelity of state transfer through a multi-excitation subspace only depends on the number of initial excitations present in the chain and is independent of the excitation ordering. Based on these results, we describe a communication scheme which requires little effort for preparation.Comment: 5 pages, 4 figure

Initializing an unmodulated spin chain to operate as a high quality quantum data-bus

We study the quality of state and entanglement transmission through quantum channels described by spin chains varying both the system parameters and the initial state of the channel. We consider a vast class of one-dimensional many-body models which contains some of the most relevant experimental realizations of quantum data-buses. In particular, we consider spin-1/2 XY and XXZ model with open boundary conditions. Our results show a significant difference between free-fermionic (non-interacting) systems (XY) and interacting ones (XXZ), where in the former case initialization can be exploited for improving the entanglement distribution, while in the latter case it also determines the quality of state transmission. In fact, we find that in non interacting systems the exchange with fermions in the initial state of the chain always has a destructive effect, and we prove that it can be completely removed in the isotropic XX model by initializing the chain in a ferromagnetic state. On the other hand, in interacting systems constructive effects can arise by scattering between hopping fermions and a proper initialization procedure. Remarkably our results are the first example in which state and entanglement transmission show maxima at different points as the interactions and initializations of spin chain channels are varied.Comment: 10 pages, 7 figure

Common Peroneal Nerve Injury During Varicose Vein Operation

AbstractCommon peroneal nerve (CPN) injury produces considerable and serious disability. The nerve is most frequently damaged as a result of trauma (sharp or blunt, traction, fracture, laceration, and avulsion). Less often iatrogenic injury is the cause of damage (application of tight plaster, retraction injury, division during operation).Even rarer is the complete or partial division of CPN during varicose vein operations. In the UK, on average 34 patients every year begin legal action against their medical attendants in connection with the treatment of varicose veins, on a background of an estimated 100,000 procedures performed. Nerve damage is the most frequent of all major complications that result in legal action; it is cited in 15% of cases. The commonest nerve injury, accounting for about half the cases, is to the common peroneal nerve just before or, as it crosses the neck of the fibula. We present three examples in two cases, which outline the risk of CPN injury, the spectrum of clinical presentation and the problems produced by a failure to recognise the deficit immediately. Regional anatomy, consequences of nerve damage and management options is discussed

Current Implant Surface Technology: An Examination of Their Nanostructure and Their Influence on Fibroblast Alignment and Biocompatibility

Systematic reviews indicate that breast implant texture confers a protective effect on capsular contracture. Fibroblasts are affected by micro- and nanotopographies. Few previous studies have investigated the inherent topographies of existing breast implants and the surfaces with which body tissue is exposed. Aims: To examine currently available breast implant surfaces at high resolution and evaluate features within their surface that have been demonstrated to influence fibroblast alignment. Methods: Using scanning electron and light microscopy, 5 distinct smooth and textured silicone implants including the Mentor Siltex® (Mentor Corporation, Santa Barbara, Calif) and Allergan Biocell® (Allergan Medical Corporation, Santa Barbara, Calif) surfaces were investigated at high magnification to illustrate their intrinsic surface topographies. Results: The images obtained illustrate remarkable micro- and nanoscale topographies. Each surface produced a distinctive microenvironment capable of influencing cell shape and thus biointegration. These features are illustrated by our unique, high-magnification images. The smooth surface exhibits a shallow, regular, 5-µm period rippled texture that may explain higher reported contracture rates, while the Biocell and Siltex surfaces show 100- to 200-µm deep but random features that have been shown to anchor the implant to breast tissue and reduce contracture. Results allow a cell's eye view of these implants, with an explanation of why these types of topographies influence the success of these implants. Conclusions: We assessed commonly available silicone implants and offer a unique overview into their surface topographies and how they are manufactured. We conclude that these surfaces require modernization. Our findings provide further insight into potential interactions between cellular assemblies and artificial surfaces and may contribute to the development of improved implant surfaces

Voltage-controlled Hubbard spin transistor

Transistors are key elements for enabling computational hardware in both classical and quantum domains. Here we propose a voltage-gated spin transistor using itinerant electrons in the Hubbard model which acts at the level of single electron spins. Going beyond classical spintronics, it enables the controlling of the flow of quantum information between distant spin qubits. The transistor has two modes of operation, open and closed, which are realized by two different charge configurations in the gate of the transistor. In the closed mode, the spin information between source and drain is blocked while in the open mode we have free spin information exchange. The switching between the modes takes place within a fraction of the operation time which allows for several subsequent operations within the coherence time of the transistor. The system shows good resilience against several imperfections and opens up a practical application for quantum dot arrays

Memory hierarchy for many-body localization: Emulating the thermodynamic limit

Local memory - the ability to extract information from a subsystem about its initial state - is a central feature of many-body localization. We introduce, investigate, and compare several information-theoretic quantifications of memory and discover a hierarchical relationship among them. We also find that while the Holevo quantity is the most complete quantifier of memory, vastly outperforming the imbalance, its decohered counterpart is significantly better at capturing the critical properties of the many-body localization transition at small system sizes. This motivates our suggestion that one can emulate the thermodynamic limit by artificially decohering otherwise quantum quantities. Applying this method to the von Neumann entropy results in critical exponents consistent with analytic predictions, a feature missing from similar small finite-size system treatments. In addition, the decohering process makes experiments significantly simpler by avoiding quantum state tomography