Quantum entanglement is fundamentally related to the operational setting of local quantum operations and classical communication (LOCC). A more general class of operations known as separable operations (SEP) is often employed to approximate LOCC, but the exact difference between LOCC and SEP is unknown. In this letter, we compare the two classes in performing particular tripartite to bipartite entanglement conversions and report a gap as large as 12.5% between SEP and LOCC, which is the first known appreciable gap between the classes. Our results rely on constructing a computable entanglement monotone with a clear operational meaning that, unlike all other such monotones previously studied, is not monotonic under SEP. Finally, we prove the curious fact that convergent sequences of LOCC protocols need not be LOCC feasible in the limit.
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http://dx.doi.org/10.1103/PhysRevLett.108.240504 | DOI Listing |
Acc Chem Res
January 2025
Department of Chemistry, Shanghai Key Laboratory of Catalysis and Innovative Materials, Center of Chemistry for Energy Materials Shanghai, Fudan University, Shanghai 200433, PR China.
ConspectusZinc metal batteries (ZMBs) appear to be promising candidates to replace lithium-ion batteries owing to their higher safety and lower cost. Moreover, natural reserves of Zn are abundant, being approximately 300 times greater than those of Li. However, there are some typical issues impeding the wide application of ZMBs.
View Article and Find Full Text PDFPhys Rev Lett
December 2024
New York University, Center for Cosmology and Particle Physics, New York, New York 10003, USA.
We introduce an effective field theory (EFT) for conformal impurity by considering a pair of transversely displaced impurities and integrating out modes with mass inversely proportional to the separation distance. This EFT captures the universal signature of the impurity seen by a heavy local operator. We focus on the case of conformal boundaries and derive universal formulas from this EFT for the boundary structure constants at high energy.
View Article and Find Full Text PDFJ Comput Neurosci
January 2025
Computational Brain Science Lab, Division of Computational Science and Technology, KTH Royal Institute of Technology, SE-100 44, Stockholm, Sweden.
This paper presents an in-depth theoretical analysis of the orientation selectivity properties of simple cells and complex cells, that can be well modelled by the generalized Gaussian derivative model for visual receptive fields, with the purely spatial component of the receptive fields determined by oriented affine Gaussian derivatives for different orders of spatial differentiation. A detailed mathematical analysis is presented for the three different cases of either: (i) purely spatial receptive fields, (ii) space-time separable spatio-temporal receptive fields and (iii) velocity-adapted spatio-temporal receptive fields. Closed-form theoretical expressions for the orientation selectivity curves for idealized models of simple and complex cells are derived for all these main cases, and it is shown that the orientation selectivity of the receptive fields becomes more narrow, as a scale parameter ratio , defined as the ratio between the scale parameters in the directions perpendicular to vs.
View Article and Find Full Text PDFAdv Sci (Weinh)
January 2025
Aramco Americas, Boston Research Center, Cambridge, MA, 02139, USA.
Membrane-based gas separation provides an energy-efficient approach for the simultaneous CO and HS removal from sour natural gas. The fluorinated polyimide (PI) membranes exhibited a promising balance between permeability and permselectivity for sour natural gas separation. To further improve the separation efficiency of fluorinated PI membranes, a melamine-copolymerization synthetic approach is devised that aims to incorporate melamine motifs with high sour gas affinity into the structure of the PI membranes.
View Article and Find Full Text PDFClin Spine Surg
January 2025
Department of Orthopaedic Surgery, Osaka University Graduate School of Medicine.
Study Design: Retrospective cohort study using prospective database.
Objective: This study aimed to establish a risk-scoring system for predicting severe complications after pyogenic spondylodiscitis surgery.
Summary Of Background Data: Pyogenic spondylodiscitis surgery can cause severe complications.
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