Abstract Metamaterials (MMs), which include phononic crystals (PCs) as a particular type, exhibit anomalous wave propagation properties through artificial design of topologies or lattice forms unit‐cells. Recent advancements in MMs signify an ascendant research trend, providing promising ideas and means for unprecedented properties. The imperative on‐demand, real‐time active control underscores the significance tunable manipulation acoustic/elastic waves, promoting development MMs....

We introduce magic measures to quantify the nonstabilizerness of multiqubit quantum gates and establish lower bounds on $T$ count for fault-tolerant computation. First, we stabilizer nullity multi-qubit unitary, which is based subgroup quotient Pauli group associated with unitary. This unitary extends state-stabilizer by Beverland et al. a dynamic version. In particular, show this measure has desirable properties such as subadditivity under composition additivity tensor product. Second,...

Completely positive and trace-preserving maps characterize physically implementable quantum operations. On the other hand, general linear maps, such as but not completely which can be implemented, are fundamental ingredients in information, both theoretical practical perspectives. This raises question of how well one simulate or approximate action a map by In this work, we introduce systematic framework to resolve task using quasiprobability decomposition technique. We decompose target into...

Finding the ground energy of a quantum system is fundamental problem in condensed-matter physics and chemistry. Existing classical algorithms for tackling this often assume that state has succinct description, i.e., poly-size circuit computing amplitude. Notable examples states encompass matrix product states, contractible projected-entangled-pair can be represented by neural networks. We study complexity local Hamiltonian (LHP) with state. prove <a:math...

In traditional electrolytes, due to the difference of donor number, cyclic ethylene carbonate (EC) is usually used as carrier Li+, while linear cosolvent. However, poor desolvation ability EC also leads rate performance. Herein, we reversed roles carbonates, where ethyl methyl (EMC) served Li+ and 3,3,3-trifluoropropylene (TFPC) acted This strategy helped significantly decrease solvation effect meeting need for good solid electrolyte interphase (SEI) growth. Fluorobenzene (FB) was introduced...

With the rapid evolution of electric vehicles, there is a growing demand for batteries with high energy and safety. Among various options, LiNi0.5Mn1.5O4 (LNMO)/phosphorus battery has emerged as one most promising candidates due to its appropriate lithiation potential remarkable specific capacity. However, challenges related high-voltage, polyphosphate dissolution, phosphorus combustion safety issues persist in this system. Herein, we design nonflammable electrolyte wide electrochemical...

In this paper, we study the local unitary classification for pairs (triples) of generalized Bell states, based on equivalence two sets. detail, firstly introduce some general operators which give us more equivalent sets besides Clifford operators. And then present necessary conditions can be used to examine inequivalence. Following approach, completely classify all in $d\otimes d$ quantum system into $\prod_{j=1}^{n} (k_{j} + 1) $ LU-inequivalent when prime factorization...

Given a coin with unknown bias $p\ensuremath{\in}[0,1]$, can we exactly simulate another $f(p)$? The exact set of simulable functions has been well characterized 20 years ago. In this paper, ask the quantum counterpart question: $|p\ensuremath{\rangle}=\sqrt{p}|0\ensuremath{\rangle}+\sqrt{1\ensuremath{-}p}|1\ensuremath{\rangle}$, $|f(p)\ensuremath{\rangle}=\sqrt{f(p)}|0\ensuremath{\rangle}+\sqrt{1\ensuremath{-}f(p)}|1\ensuremath{\rangle}$? We give full characterization state...

The state space method has been widely used to analyze the static and dynamic characteristics of homogeneous, laminated, functionally graded, or even intelligent structures. However, solution equation using traditional transfer matrix generally encounters problem numerical instability. This work, therefore, derives general by making use similarity transformation convert system into a in Jordan canonical form (including diagonal as special case), so avoid previously stated problem. A...

In this paper, we study the online quantum state learning problem which is recently proposed by Aaronson et al. (2018). problem, algorithm sequentially predicts states based on observed measurements and losses goal to minimize regret. previous work, existing algorithms may output mixed states. However, in many scenarios, prediction of a pure required. first propose Follow-the-Perturbed-Leader (FTPL) that can guarantee predict Theoretical analysis shows our achieve an O(√T) expected regret...

Reversible Boolean function (RBF) is a one-to-one which maps n-bit input to output. logic synthesis has been widely studied due its connection with low-energy computation as well quantum computation. In this paper, we give structured decomposition for even RBFs. Specifically, n ≥ 6, any RBF can be decomposed 7 blocks of (n-1)-bit RBF, where constant independent and the positions these have large degree freedom. Moreover, if RBFs are required well, show 10, 10 (n - 1)-bit short, our block...

We study the complexity of local Hamiltonians in which terms pairwise commute. Commuting (CLHs) provide a way to role non-commutativity quantum systems and touch on many fundamental aspects computing many-body systems, such as PCP conjecture area law. Despite intense research activity since Bravyi Vyalyi introduced CLH problem two decades ago [BV03], its remains largely unresolved; it is only known lie NP for few special cases. Much recent has focused physically motivated 2D case, where...

Gibbs sampling is a crucial computational technique used in physics, statistics, and many other scientific fields. For classical Hamiltonians, the most commonly sampler Metropolis algorithm, known for having state as its unique fixed point. quantum designing provably correct samplers has been more challenging. [TOV+11] introduced novel method that uses phase estimation (QPE) Marriot-Watrous rewinding to mimic algorithm Hamiltonians. The analysis of their relies upon use boosted...

Gibbs state preparation, or sampling, is a key computational technique extensively used in physics, statistics, and other scientific fields. Recent efforts for designing fast mixing samplers quantum Hamiltonians have largely focused on commuting local (CLHs), non-trivial subclass of which include highly entangled systems such as the Toric code double model. Most previous relied simulating Davies generator, Lindbladian associated with thermalization process nature. Instead using we design...