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No pure entangled state can be distilled from a \\(2\\otimes 2\\) or \\(2\\otimes 3\\) mixed state by separable operations. In \\(3\\otimes 3\\), pure entanglement can be distilled by separable operation but not by LOCC. In this letter, we proved the conjecture [PRL. 103, 110502 (2009)] that it is possible to distill pure entanglement for \\(2\\otimes 4\\) system by LOCC and further improve these in higher dimensions to distill a pure entangled state of Schmidt rank \\(d\\) from a \\(m\\otimes n\\) mixed state by separable operation when \\(m+n \\geqslant 3d\\). We found results for tripartite systems with target state \\(d\\)-level GHZ-type state. These results provide a class of systems where separable operation is strictly stronger than LOCC.

Quantifying multipartite entanglement poses a significant challenge in quantum information theory, prompting recent advancements in methodologies to assess it. We introduce the notion of \\enquote{Volume of Assistance} (VoA), which computes the geometric mean of entanglement of assistance across all potential parties. We demonstrate the feasibility of VoA for three-qubit pure states and certain classes of pure tripartite qudit states. We have extended this measure to four-qubit states and general multipartite scenarios. We have done a comparative analysis to illustrate VoA's distinctiveness from established entanglement measures, notably showing it serves as an upper bound for the much celebrated generalized geometric measure (GGM). Remarkably, VoA excels in distinguishing a broad class of states that elude differentiation by the recently proposed Minimum Pairwise Concurrence (MPC) measure. Finally, VoA is applied to quantify genuine entanglement in the ground states of a three-qubit Heisenberg XY model, which highlights its practical utility in quantum information processing tasks.

Based on the conviction of switching information from locally accessible to locally hidden environs, the concept of hidden nonlocality activation has recently been highlighted by Bandyopadhyay et al. in [Phys. Rev. A 104, L050201 (2021)]. They have demonstrated that a certain locally distinguishable set of pure quantum states can be transformed into a locally indistinguishable set with certainty through orthogonality preserving local measurements (OPLMs). This transformation makes the set locally inaccessible, despite being locally accessible before. This phenomenon is defined as the activation of hidden nonlocality. In this paper, we present two classes of locally distinguishable sets within \\((2m+1) \\otimes 2 \\otimes (2m+1)\\) systems. One class reveals nonlocality through local operations, whereas the other requires joint measurements for it. As the later class depends on nonlocal operations to exhibit nonlocality, it arguably has a lower degree of nonlocality, and accordingly, can be considered as more local compared to the first class. This analysis exhibits a stronger manifestation of locality by elucidating the nuanced interplay between these distinct local phenomena within the framework of quantum state discrimination. Furthermore, we also explore their significant applications in the context of data hiding. Additionally, we introduce the concept of \\emph{``strong local\"} set and compare it with various activatable sets, highlighting differences in terms of locality.

An unextendible biseparable basis (UBB) is a set of orthogonal pure biseparable states which span a subspace of a given Hilbert space while the complementary subspace contains only genuinely entangled states. These biseparable bases are useful to produce genuinely entangled subspace in multipartite system. Such a subspace could be more beneficial for information theoretic applications if we are able to extract distillable entanglement across every bipartition from each state of this subspace. In this manuscript, we have derived a rule for constructing such a class of UBB which exhibits the phenomenon of strong quantum nonlocality. This result positively answers the open problem raised by Agrawal et al. [Phys. Rev. A 99, 032335 (2019)]; that there exists a UBB which can demonstrate the phenomenon of strong quantum nonlocality in the perspective of local irreducibility paradigm.

A set of orthogonal product states of a composite Hilbert space is genuinely nonlocal if the states are locally indistinguishable across any bipartition. In this work, we construct a minimal set of party asymmetry genuine nonlocal set in arbitrary large dimensional composite quantum systems \\(C^d\\otimes C^d\\otimes C^d\\). We provide a local discriminating protocol by using a three qubit GHZ state as a resource. On the contrary, we observe that single-copy of two qubit Bell states provide no advantage for this discrimination task. Recently, Halder et al. [Phys. Rev. Lett. 122, 040403 (2019)], proposed the concept of strong nonlocality without entanglement and ask an open question whether there exist an incomplete strong nonlocal set or not. In [Phys. Rev. A 102, 042228 (2020)], an answer is provided by the authors. Here, we construct an incomplete party asymmetry strong nonlocal set which is more stronger than the set constructed in [Phys. Rev. A 102, 042228 (2020)] with respect to the consumption of entanglement as a resource for their respective discrimination tasks.

Classical communication plays a crucial role to distinguish locally a class of quantum states. Despite considerable advances, we have very little knowledge about the number of measurement and communication rounds needed to implement a discrimination task by local quantum operations and classical communications (in short, LOCC). In this letter, we are able to show the relation between round numbers with the local discrimination of a set of pure bipartite orthogonal quantum states. To demonstrate the possible strong dependence on the round numbers, we consider a class of orthogonal product states in \\(d\\otimes d\\), which require at least \\(2d-2\\) round of classical communications. Curiously the round number can be reduced to \\(d\\) by the assistance of one-ebit of entanglement as resource and can be reduced further by assistance of more entanglement. We are also able to show that the number of LOCC rounds needed for a discrimination task may depend on the amount of entanglement assistances.

Local distinguishability of orthogonal product states is an area of active research in quantum information theory. However, most of the relevant results about local distinguishability found in bipartite quantum systems and very few are known in multipartite systems. In this work, we construct a locally indistinguishable subset in \\({\\mathbb{C}}^{2d}\\bigotimes{\\mathbb{C}}^{2d}\\bigotimes{\\mathbb{C}}^{2d}\\), \\(d\\geq2\\) that contains \\(18(d-1)\\) orthogonal product states. Further, we generalize our method to arbitrary tripartite quantum systems \\({\\mathbb{C}}^{k}\\bigotimes{\\mathbb{C}}^{l}\\bigotimes{\\mathbb{C}}^{m}\\). This result enables us to understand further the role of nonlocality without entanglement in multipartite quantum systems. Finally, we prove that a three-qubit GHZ state is sufficient as a resource to distinguish each of the above classes of states.

Introduction: Therapy of proliferative lupus nephritis (PLN) is yet to be optimized. Standard of care for induction consists of intravenous (IV) cyclophosphamide (CYC) and steroids, which shows an improved outcome, but end-stage renal disease (ESRD) progression, increased mortality, and therapy-related adverse effects remain a major concern. The other treatment reported to induce early remission was the multitarget therapy comprising tacrolimus, mycophenolate, and steroid, but infections were high in the multitarget therapy. Considering azathioprine as a potentially safer and effective alternative anti-B-cell therapy, modified multitarget therapy (MMTT) was planned replacing mycophenolate with azathioprine. Material and Methods: A single-center, 24-week, open-label, randomized controlled trial comprising adults of age 18-65 years with biopsy-proven PLN was carried out. The intervention groups were 1) MMTT: tacrolimus 0.075 mg/kg/day and azathioprine 2 mg/kg/day and 2) IV CYC group with a starting dose of 0.75 (adjusted to 0.5-1.0) g/m2 every 4 weeks for 6 months. Both groups received 3 days of pulse methylprednisolone followed by a tapering course of oral prednisone therapy. Results: Among 100 randomized patients, 48 were in MMTT arm and 52 were in IV CYC arm. At the end of 24 weeks, overall remission (complete and partial) was comparable in both the arms: MMTT (86.36%) and IV CYC (87.75%). There was comparable proteinuria reduction and systemic lupus erythematosus disease activity index (SLEDAI) score improvement with recovery of complement level C3 in both groups. Major adverse events were numerically more in the IV CYC group, including one death from pneumonia. Conclusion: The MMTT arm is as effective as IV CYC in improving short-term outcome in PLN, with a comparable safety profile.

Alternating hemiplegia of childhood (AHC) is a complex neurological disorder comprising paroxysmal episodes of repeated, transient paresis involving either or both sides of the body, with onset usually before the age of 18 months. The etiology is varied and includes channelopathy, mutations of the ATP1A3 gene that encode alpha subunit of the NA -K ATPase pump. A 7-month-old girl presented with tonic neck deviation of the neck and eyes, episodic hemiparesis affecting both sides alternatively. Each episode resolved after sleep and was precipitated by hunger, fever, and sleep deprivation. Neurological examination and laboratory workup, including MRI and EEG, were normal. Whole-exome sequencing revealed a heterozygous de novo pathogenic mutation in the ATP1A3 gene (p.Asp801Asn), confirming AHC. She was started on flunarizine, a calcium channel blocker. Significant clinical improvement and catch-up in developmental milestones were observed on follow-up. AHC is frequently misdiagnosed due to its rarity and varied presentation. Diagnosis is clinical and supported by genetic testing. Mutations in ATP1A3 are common and often cluster at specific hotspots. Management includes symptomatic treatment and supportive care, with flunarizine offering some benefit. This case highlights the need for early recognition and genetic confirmation of AHC to initiate therapy and improve quality of life.

Background: Onychomycosis (OM) is a major public health problem which is increasing worldwide. It is associated with high morbidity and causes physical, psychological, and occupational problems in patients. Aims: This study aims to study the pattern of etiological agents, clinical features, and severity assessment of OM in this part of India. Materials and Methods: Sixty eight clinically suspected patients with positive potassium hydroxide and fungal culture were studied. Results: Males were infected more often than females (1.61:1). The most common age group affected was 21-40 years. Finger nails were affected more frequently than toe nails. Distal and lateral subungual OM was the most common (48 cases, 70.59%) clinical pattern. For most of the patients (66.18%), nail involvement was severe. Discoloration was the most common (67 cases, 98.53%) change, followed by subungual hyperkeratosis (51 cases, 75%). Principal causative agents were dermatophytes (55 cases, 80.88%) with Trichophyton rubrum being the most common one (35 cases, 51.47%). In 9 (13.23%) cases, Candida albicans, in 6 (8.82%) Aspergillus niger and in 1 (1.47%) case Acremonium sp. (AC) have been isolated as the sole causative agent. In 2 (2.94%) cases, mixed infection with dermatophyte and Aspergillus and in 1 (1.47%) case dermatophyte and Candida were noted. Conclusion: Although dermatophytes were the most common causative agent of OM, nondermatophytic molds, and yeasts were also encountered. The genus and species identification helps in the proper diagnosis and management. Morphological changes in nail may help in presumptive diagnosis of OM.