Randall Espinoza, Tom Imbo, Paul Lopata
We investigate an entangled deformation of the deterministic quantum cloning process, called enscription, that can be applied to (certain) sets of distinct quantum states which are not necessarily orthogonal, called texts. Some basic theorems on enscribable texts are given, and a relationship to probabilistic quantum cloning is demonstrated.
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In the companion to this paper, we described a generalization of the deterministic quantum cloning process, called enscription, which utilizes entanglement in order to achieve the "copying" of (certain) sets of distinct quantum states which are not orthogonal, called texts. Here we provide a further generalization, called translation, which allows us to completely determine all translatable texts, and which displays an intimate relationship to the mathematical theory of graphs.
We prove an upper bound on the diffusivity of a general local and translation invariant quantum Markovian spin system: $D \leq D_0 + \left(α\, v_\text{LR} τ+ β\, ξ\right) v_\text{C}$. Here $v_\text{LR}$ is the Lieb-Robinson velocity, $v_\text{C}$ is a velocity defined by the current operator, $τ$ is the decoherence time, $ξ$ is the range of interactions, $D_0$ is a microscopically determined diffusivity and $α$ and $β$ are precisely defined dimensionless coefficients. The bound constrains quantum transport by quantities that can either be obtained from the microscopic interactions ($D_0, v_\te…
We investigate the holographic bound utilizing a homogeneous, isotropic, and non-relativistic neutral hydrogen gas present in the de Sitter space. Concretely, we propose to employ de Sitter holography intertwined with quantum deformation of the hydrogen atom using the framework of quantum groups. Particularly, the $\mathcal U_q(so(4))$ quantum algebra is used to construct a finite-dimensional Hilbert space of the hydrogen atom. As a consequence of the quantum deformation of the hydrogen atom, we demonstrate that the Rydberg constant is dependent on the de Sitter radius, $L_Λ$. This feature is …
On the relativistic quantum mechanics of a photon between two electrons in 1+1 dimensions
本文建立了一维空间中由光子和两个Dirac电子组成的量子三体系统的Lorentz协变波动方程，通过多时间波函数和路径不交叉边界条件实现相互作用，并证明初边值问题适定且解可由Feynman图无穷级数表示。
We investigate the quantum temporal steering (TS), i.e., a temporal analogue of Einstein-Podolsky-Rosen steering, in a dephasing channel which is modeled by a central spin half surrounded by a spin-1/2 \textit{XY} chain where quantum phase transition happens. The TS parameter $S_{\text{TS}}$ and the TS weight $W_{\text{TS}}$ are employed to characterize the TS dynamics. We analytically obtain the dependence of $S_{\text{TS}}$ on the decoherence factor. The numerical results show an obvious suppression of $S_{\text{TS}}$ and $W_{\text{TS}}$ when the \textit{XY} chain approaches to the critical …
Quantum Text Classifier -- A Synchronistic Approach Towards Classical and Quantum Machine Learning
本文提出端到端量子文本分类框架QTC，在经典计算机上处理数据，利用QML算法进行分类，并基于IBM Qiskit库实现，填补了量子算法文本分类模型空白。
We introduce a fidelity-based measure $\text{D}_{\text{CQ}}(t)$ to quantify the differences between the dynamics of classical (CW) and quantum (QW) walks over a graph. We provide universal, graph-independent, analytic expressions of this quantum-classical dynamical distance, showing that at short times $\text{D}_{\text{CQ}}(t)$ is proportional to the coherence of the walker, i.e. a genuine quantum feature, whereas for long times it depends only on the size of the graph. At intermediate times, $\text{D}_{\text{CQ}}(t)$ does depend on the graph topology through its algebraic connectivity. Our re…
Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
研究提出开放量子系统中共形界面的松弛率抑制量c_relax，揭示其与界面强度的关系及在临界系统中的应用。
This paper explores text classification on quantum computers. Previous results have achieved perfect accuracy on an artificial dataset of 100 short sentences, but at the unscalable cost of using a qubit for each word. This paper demonstrates that an amplitude encoded feature map combined with a quantum support vector machine can achieve 62% average accuracy predicting sentiment using a dataset of 50 actual movie reviews. This is still small, but considerably larger than previously-reported results in quantum NLP.
Hexagonal boron nitride (h-BN) is a promising platform for quantum information processing due to its potential to host optically active defects with attractive optical and spin properties. Recent studies suggest that carbon trimers might be the defect responsible for single-photon emission in the visible spectral range in h-BN. In this theoretical study, we combine group theory together with density functional theory (DFT) calculations to predict the properties of the neutral $\text{C}_\text{2}\text{C}_\text{N}$ carbon trimer defect. We find the multi-electron states of this defect along with …
Quantum teleportation, entanglement, LQU and LQFI in $e^{+}e^{-} \to \text{Y}\bar{\text{Y}}$ processes at BESIII through noisy channels
本研究解析研究了BESIII上$e^{+}e^{-} \to \text{Y}\bar{\text{Y}}$过程通过噪声通道的量子隐形传态保真度及量子关联度量，发现保真度在噪声下仍高于经典极限，表明部分噪声并非有害。
Hybrid classical-quantum text search based on hashing
针对文本子串搜索问题，提出一种结合均匀哈希族函数与Grover搜索的经典-量子混合算法，实现二次查询加速并显著减少量子比特用量。
Sample-Optimal Quantum Process Tomography with Non-Adaptive Incoherent Measurements
该研究拓展已有结果，给出非自适应非相干测量下量子过程层析成像的样本数上界与匹配下界，证明该下界对辅助量子比特策略同样适用，确立了相关场景下的样本最优性。
Molecular Nanomagnet $\text{Cu}^\text{II}\text{Ni}^\text{II}\text{Cu}^\text{II}$ as Resource for Bipartite and Tripartite Quantum Entanglement and Coherence
该研究解析并数值分析外磁场中混合自旋 Heisenberg 三聚体的两体、三体纠缠与相干性，证明 CuNiCu 分子纳米磁体在高温强场下仍可作为量子资源。
We introduce universal broadband composite pulse sequences for robust high-fidelity population inversion in two-state quantum systems, which compensate deviations in any experimental parameter (e.g. pulse amplitude, pulse duration, detuning from resonance, Stark shifts, unwanted frequency chirp, etc.) and are applicable with any pulse shape. We demonstrate the efficiency and universality of these composite pulses by experimental data on rephasing of atomic coherences in a $\text{Pr}^{3+}\text{:}\text{Y}_2\text{SiO}_5$ crystal.
A Hybrid Classical-Quantum Fine Tuned BERT for Text Classification
本文提出一种结合量子电路和经典BERT的混合模型，用于提升文本分类性能，实验表明其在多个基准数据集上表现优异。
The closed-branch decoder for quantum LDPC codes
本文提出一种用于量子低密度奇偶校验码的闭合分支译码器，通过可调参数实现精度与速度的权衡，在最小码距码上以更低复杂度取得与BPOSD相似的性能。
We study the ability to implement unitary maps on states of the $I=9/2$ nuclear spin in \textsuperscript{87}Sr, a $d=10$ dimensional (qudecimal) Hilbert space, using quantum optimal control. Through a combination of nuclear spin-resonance and a tensor AC-Stark shift, by solely modulating the phase of a radio-frequency magnetic field, the system is quantum controllable. Alkaline earth atoms, such as \textsuperscript{87}Sr, have a very favorable figure-of-merit for such control due to narrow intercombination lines and the large hyperfine splitting in the excited states. We numerically study the …
The problem of representing text documents within an Information Retrieval system is formulated as an analogy to the problem of representing the quantum states of a physical system. Lexical measurements of text are proposed as a way of representing documents which are akin to physical measurements on quantum states. Consequently, the representation of the text is only known after measurements have been made, and because the process of measuring may destroy parts of the text, the document is characterised through erasure. The mathematical foundations of such a quantum representation of text are…
Quantum gravimetry with mechanical qubits
本文提出利用机械量子比特作为重力传感器，通过直接读取粒子在重力作用下的运动，实现高灵敏度的重力测量，其灵敏度随质量或声子数呈反平方根关系，优于传统方案两个数量级。
On the exact quantum query complexity of $\text{MOD}_m^n$ and $\text{EXACT}_{k,l}^n$
本文研究两类 n 比特对称函数的精确量子查询复杂度，给出 $\text{MOD}_m^n$ 的最优算法并部分解决 $\text{EXACT}_{k,l}^n$ 相关猜想。
Efficient Generation of Parameterised Quantum Circuits from Large Texts
本研究基于DisCoCirc框架思路，提出利用预群图树状表示、依托对称幺半范畴将大规模文本高效编码为参数化量子电路的方法，可处理最长6410词的文本，相关系统已集成至lambeq Gen II开源量子NLP包。
Simple representations of documents based on the occurrences of terms are ubiquitous in areas like Information Retrieval, and also frequent in Natural Language Processing. In this work we propose a logical-probabilistic approach to the analysis of natural language text based in the concept of Uncertain Conditional, on top of a formulation of lexical measurements inspired in the theoretical concept of ideal quantum measurements. The proposed concept can be used for generating topic-specific representations of text, aiming to match in a simple way the perception of a user with a pre-established …
Probing multiparameter quantum estimation in the process $e^+e^-\to J/ψ\to \text{B}\bar{\text{B}}$ at BESIII
本研究利用QFIM框架探讨BESIII实验中$e^+e^-\to J/ψ\to B\bar{B}$过程的多参数量子估计，分析了散射角和衰变参数的估计方差与环境退相干的关系。
Robust Hybrid Classical-Quantum Transfer Learning Model for Text Classification Using GPT-Neo 125M with LoRA & SMOTE Enhancement
本研究提出混合经典-量子框架，结合GPT-Neo 125M、LoRA与SMOTE，在IBM 127量子比特后端及Pennylane 32量子比特模拟上验证了提升文本分类准确率、收敛速度与泛化能力的可行性。
Paramagnetic substitutional carbon (C$_\text{B}$, C$_\text{N}$) defects in hexagonal boron nitride (hBN) are discussed as candidates for quantum bits. Their identification and suitability are approached by means of photoluminescence (PL), charge transitions, electron paramagnetic resonance, and optically detected magnetic resonance (ODMR) spectra. Several clear trends in these are revealed by means of an efficient plane wave periodic supercell \textit{ab initio} density functional theory approach. In particular, this yields insight into the role of the separation between C$_\text{B}$ and C$_\t…
Integration of a GaAs-based nanomechanical phase shifter with quantum-dot single-photon sources
展示了一种基于GaAs悬浮薄膜的纳米机械移相器，实现了与量子点单光子源的多功能集成，并在低温下实现了高达24 dB消光比的单光子路由，为可重构量子光子集成电路奠定基础。
Achieving near-term quantum advantage will require accurate estimation of quantum observables despite significant hardware noise. For this purpose, we propose a novel, scalable error-mitigation method that applies to gate-based quantum computers. The method generates training data $\{X_i^{\text{noisy}},X_i^{\text{exact}}\}$ via quantum circuits composed largely of Clifford gates, which can be efficiently simulated classically, where $X_i^{\text{noisy}}$ and $X_i^{\text{exact}}$ are noisy and noiseless observables respectively. Fitting a linear ansatz to this data then allows for the prediction…
The newly established Heisenberg limit in arbitrary waveform estimation is quite different with parameter estimation and shows a unique characteristic of a future quantum version of oscilloscope. However, it is still a non-trivial challenge to generate a large number of exotic quantum entangled states to achieve this quantum limit. Here, by employing the time-domain quantum difference detection method, we demonstrate Heisenberg-limited waveform quantum estimation with diamond spins under ambient condition in the experiment. Periodic dynamical decoupling is applied to enhance both the dynamic r…
We investigate a generic discrete quantum system prepared in state $|ψ_\text{in}\rangle$, under repeated detection attempts aimed to find the particle in state $|d\rangle$, for example a quantum walker on a finite graph searching for a node. For the corresponding classical random walk, the total detection probability $P_\text{det}$ is unity. Due to destructive interference, one may find initial states $|ψ_\text{in}\rangle$ with $P_\text{det}<1$. We first obtain an uncertainty relation which yields insight on this deviation from classical behavior, showing the relation between $P_\text{det}$ an…
Sj$\ddot{\text{o}}$qvist quantum geometric tensor of finite-temperature mixed states
本文基于Sjöqvist距离将量子几何张量推广到有限温度混合态，揭示其规范不变性、实部度规分解及虚部与Berry曲率的关系，并通过实例展示温度依赖特性。
The Power of Lorentz Quantum Computer
本文提出洛伦兹量子计算机（LQC）的计算复杂性类 BLQP，证明其等价于 ${\text P}^{\sharp \text{P}}$，并展示 LQC 可在多项式时间内解决最大独立集等问题，且能高效模拟带后选择的量子计算。
For any function $f: X \times Y \to Z$, we prove that $Q^{*\text{cc}}(f) \cdot Q^{\text{OIP}}(f) \cdot (\log Q^{\text{OIP}}(f) + \log |Z|) \geq Ω(\log |X|)$. Here, $Q^{*\text{cc}}(f)$ denotes the bounded-error communication complexity of $f$ using an entanglement-assisted two-way qubit channel, and $Q^{\text{OIP}}(f)$ denotes the number of quantum queries needed to learn $x$ with high probability given oracle access to the function $f_x(y) \stackrel{\text{def}}{=} f(x, y)$. We show that this tradeoff is close to the best possible. We also give a generalization of this tradeoff for distribution…
Molecular Dynamics with Nuclear Effects on Quantum Computers
提出一种混合量子-经典算法，通过核-电子轨道方法在量子计算机上纳入核量子效应进行从头算分子动力学，模拟H₂、H₂O和Zundel离子，验证了质子穿梭无势垒及频率误差改善，并展示了在近期量子设备上的可行性。
We report experiments on superconducting flux qubits in a circuit quantum electrodynamics (cQED) setup. Two qubits, independently biased and controlled, are coupled to a coplanar waveguide resonator. Dispersive qubit state readout reaches a maximum contrast of $72\,\%$. We find intrinsic energy relaxation times at the symmetry point of $7\,μ\text{s}$ and $20\,μ\text{s}$ and levels of flux noise of $2.6\,μΦ_0/\sqrt{\text{Hz}}$ and $2.7\,μΦ_0/\sqrt{\text{Hz}}$ at 1 Hz for the two qubits. We discuss the origin of decoherence in the measured devices. These results demonstrate the potential of cQED…
Nuclear Spin-Depleted, Isotopically Enriched 70Ge/28Si70Ge Quantum Wells
本研究针对平面锗异质结构空穴量子位受核自旋退相干影响的问题，制备了同位素富集的70Ge/SiGe量子阱，大幅提升核自旋间距，为长相干量子位研发提供材料基础。
CLAQS: Compact Learnable All-Quantum Token Mixer with Shared-ansatz for Text Classification
CLAQS提出一种紧凑全量子令牌混合器，通过l1归一化和两阶段架构实现稳定训练，仅用8个量子比特在SST-2和IMDB上分别取得91.64%和87.08%的准确率，超越经典与混合基线。
Quantum Algorithms for Compositional Text Processing
本研究针对自然语言可解释性需求，提出DisCoCirc框架的量子版本QDisCoCirc，证明其问答任务为BQP难，实现了容错场景下的二次加速，可验证量子处理器的实用算力。
We observe a dramatic difference in optical line shapes of a $^4\text{He}$ Bose-Einstein condensate and a $^3\text{He}$ degenerate Fermi gas by measuring the 1557-nm $2~^3S-2~^1S$ magnetic dipole transition ($8~\text{Hz}$ natural linewidth) in an optical dipole trap. The $15~\text{kHz}$ FWHM condensate line shape is only broadened by mean field interactions, whereas the degenerate Fermi gas line shape is broadened to $75~\text{kHz}$ FWHM due to the effect of Pauli exclusion on the spatial and momentum distributions. The asymmetric optical line shapes are observed in excellent agreement with li…
There is significant interest in potential experimental tests of macroscopic quantum effects, both to test potential modifications to quantum theory and to probe the quantum nature of gravity. A proposed platform with which to generate the required macroscopic quantum spatial superposition is a nanodiamond containing a negatively charged nitrogen vacancy (${\text{NV}}^{-}$) centre. In this review, methods to fabricate nanodiamonds containing ${\text{NV}}^{-}$ suitable for these quantum applications are discussed. The proposed probes of the macroscopic limits of quantum theory are presented alo…
Multi-Scale Feature Fusion Quantum Depthwise Convolutional Neural Networks for Text Classification
提出基于量子深度可分离卷积与多尺度特征融合的QNN文本分类模型，通过量子词/句嵌入降低参数并提升性能，在RP数据集上达到96.77%的新最先进准确率。
Mermin square scenario provides a simple proof for state-independent contextuality. In this paper, we study polytopes $\text{MP}_β$ obtained from the Mermin scenario, parametrized by a function $β$ on the set of contexts. Up to combinatorial isomorphism, there are two types of polytopes $\text{MP}_0$ and $\text{MP}_1$ depending on the parity of $β$. Our main result is the classification of the vertices of these two polytopes. In addition, we describe the graph associated with the polytopes. All the vertices of $\text{MP}_0$ turn out to be deterministic. This result provides a new topological p…
Dirac Fermions and Flat Bands in Phosphorus Carbide Nanotubes: Structural and Quantum Phase Transitions in a Quasi-One-Dimensional Material
研究揭示了磷化碳纳米管中狄拉克费米子与多重平板带的共存现象，以及其在结构和量子相变中的独特行为，为量子现象提供了新平台。
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