超导量子比特常用“约瑟夫森结”来构造，这个结凭什么能当量子比特用？
Superconducting qubits are often built from a 'Josephson junction'—what makes such a junction usable as a qubit?
约瑟夫森结由两个超导体夹一层薄绝缘体构成，库珀对可借量子隧穿穿过势垒，产生非线性、离散的能级。这种非线性让系统能稳定在两个最低的能级之间切换，恰好充当量子比特的 |0⟩ 和 |1⟩ 态。它的能级还可由外加磁场精细调控。
A Josephson junction sandwiches a thin insulator between two superconductors, letting Cooper pairs tunnel through the barrier and producing nonlinear, discrete energy levels. That nonlinearity lets the system sit stably between its two lowest levels, serving as the qubit's |0⟩ and |1⟩ states. The levels can be tuned finely by an applied magnetic field.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 已核验 · Verified 2026-11-04
来源 · Source
P. Krantz 等,《A quantum engineer's guide to superconducting qubits》,Applied Physics Reviews,2019 (DOI: 10.1063/1.5089550)
P. Krantz et al., 'A quantum engineer's guide to superconducting qubits', Applied Physics Reviews, 2019, DOI: 10.1063/1.5089550
独立核验依据 · Independent verification: 核验依据 1 Crossref DOI 10.1063/1.5089550
#约瑟夫森结 #超导量子比特 #库珀对隧穿
为什么电子不会掉进原子核？
Why don't electrons fall into the nucleus?
在量子世界里电子只能处在特定的能级上，最低能级仍有非零能量（零点能），没有更低的状态可掉入，所以稳定绕核。
Electrons occupy fixed energy levels; the lowest has a nonzero ground-state energy, so there is no lower state to fall into, keeping them stably around the nucleus.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 已核验 · Verified 2026-11-03
来源 · Source
Bohr，《论原子与分子的结构》，Philosophical Magazine 26 (1913)
Bohr, 'On the Constitution of Atoms and Molecules', Philosophical Magazine 26 (1913)
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL1132119W：On the constitution of
#能级 #电子 #原子
为何全同粒子要分为玻色子和费米子？
Why are identical particles split into bosons and fermions?
这是自旋-统计定理的结果：整数自旋的粒子（玻色子）波函数对称，允许任意占据同一量子态；半整数自旋（费米子）波函数反对称，导致泡利不相容原理。该定理在三维相对论量子场论中可证。
By the spin-statistics theorem, integer-spin particles (bosons) have symmetric wavefunctions and may share states, while half-integer fermions are antisymmetric, giving Pauli exclusion. It is provable in 3D relativistic QFT.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Griffiths & Schroeter,《Introduction to Quantum Mechanics》第3版,Cambridge University Press,2018
D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018
独立核验依据 · Independent verification: 核验依据 2 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#量子 #自旋统计 #全同粒子
什么是量子叠加？
What is quantum superposition?
在未被测量前，量子系统可同时处于多个可能状态的叠加，比如电子同时走过两条缝；一旦观测，就“坍缩”成某一个确定状态。
Before measurement a quantum system can be in a superposition of multiple states at once—an electron goes through both slits—and observing it collapses it to one definite state.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：著录仅给书名，无版次与年份；同一书名常对应多个版次，不臆测具体版本。
Griffiths，《量子力学导论》（第2版）
Griffiths, 'Introduction to Quantum Mechanics' (2nd ed.)
独立核验依据 · Independent verification: 核验依据 1 ISBN 9787301037058（豆瓣书目条目） · 核验依据 3 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#叠加 #量子 #坍缩
路径积分如何给出粒子从A到B的概率？
How does the path integral give the probability for a particle to go from A to B?
在费曼路径积分中，粒子从A到B的概率幅是连接两点的所有可能路径的复振幅 exp(iS/ℏ) 之和，每条路径贡献正比于其经典作用量。经典路径附近的作用量平稳，路径相干叠加后贡献最大。
In Feynman's formulation the amplitude is the sum over all paths of exp(iS/ℏ); paths near the classical trajectory have stationary action and constructively interfere, dominating the result.
难度 专业 · 适合 小学低段(6-8)
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：此条未指向带版次的可引用著作（通识性内容、机构文件或未展开的英文书名），本库不提供独立书目出处；如需精确引用，需由编辑补全具体篇目与版次。
费曼1948
Feynman 1948
#量子 #路径积分 #作用量
不确定性原理说的是什么？
What does the uncertainty principle say?
海森堡指出，无法同时精确知道一个粒子的位置和动量；测得其中一个越准，另一个就越模糊，这是自然的根本限制而非仪器缺陷。
Heisenberg showed we cannot know both a particle's position and momentum precisely at once; the more accurately we know one, the less we know the other. It is a fundamental limit, not a measurement flaw.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：著录含书名，但缺版次 / 出版社 / 年份中的一部分，需编辑补全后才能做独立比对。
Heisenberg，《量子理论运动学与力学之直观内容的评论》，Zeitschrift fur Physik 43 (1927)
Heisenberg, 'Uber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik', Zeitschrift fur Physik 43 (1927)
#不确定性原理 #海森堡 #量子
贝尔不等式是怎么排除局域隐变量理论的？
How do Bell inequalities rule out local hidden-variable theories?
贝尔不等式给出局域实在论下关联测量结果的统计上限；实验上测得的相关性（如CHSH值超2）违反该上限，表明自然不满足局域实在性。这意味着要么非定域，要么不能同时定义所有可观测量。
Bell inequalities bound correlations allowed by local realism; experiments violate them (CHSH > 2), showing nature is not locally realistic—either nonlocality or the absence of pre-existing values holds.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Griffiths & Schroeter,《Introduction to Quantum Mechanics》第3版,Cambridge University Press,2018
D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018
独立核验依据 · Independent verification: 核验依据 2 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#量子 #贝尔 #非定域性
什么是波粒二象性？
What is wave-particle duality?
微观粒子如电子和光子既表现出波动性（干涉、衍射）又表现出粒子性（一份份能量），具体呈现哪种取决于观测方式。
Tiny particles like electrons and photons show both wave behavior (interference, diffraction) and particle behavior (discrete energy), depending on how we observe them.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：著录含书名，但缺版次 / 出版社 / 年份中的一部分，需编辑补全后才能做独立比对。
de Broglie，《量子理论的研究》，Annales de Physique 3 (1924)
de Broglie, 'Recherches sur la theorie des quanta', Annales de Physique 3 (1924)
#波粒二象性 #量子 #光子
什么是量子纠缠？
What is quantum entanglement?
两个纠缠的粒子无论相距多远，测量其中一个的状态会瞬间决定另一个的状态，爱因斯坦称之为“鬼魅般的超距作用”。这并不传递信息，但可用于量子通信。
Two entangled particles share linked states: measuring one instantly fixes the other's state no matter the distance (Einstein's 'spooky action'). It can't send information but enables quantum cryptography.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：著录含书名，但缺版次 / 出版社 / 年份中的一部分，需编辑补全后才能做独立比对。
Einstein、Podolsky 与 Rosen，《能认为量子力学对物理实在的描述是完备的吗？》，Physical Review 47 (1935)
Einstein, Podolsky & Rosen, 'Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?', Physical Review 47 (1935)
#纠缠 #量子 #超距作用
拓扑物态中的体边对应关系是什么？
What is bulk-boundary correspondence in topological phases?
在拓扑绝缘体等系统中，体态的拓扑不变量（如陈数）决定了边界上必然出现受保护的边界态；这些边界态对局域扰动稳健，是拓扑序的标志。
In systems like topological insulators, a bulk topological invariant (e.g. Chern number) guarantees protected boundary states whose existence is robust against local perturbations.
难度 进阶 · 适合 高中(15-18)
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Griffiths & Schroeter,《Introduction to Quantum Mechanics》第3版,Cambridge University Press,2018
D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018
独立核验依据 · Independent verification: 核验依据 2 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#量子 #拓扑 #边缘态
半导体“量子点”为什么粒径越小、发光颜色越偏蓝，越大越偏红？
Why do semiconductor 'quantum dots' glow bluer when smaller and redder when larger?
量子点里的电子被限制在纳米尺度，能量量子化，禁带随粒径减小而变大。粒径越小，电子跃迁所需能量越高，发出的光子能量（频率）越大，颜色就越蓝。这种“尺寸调色”让同一材料能覆盖整个可见光范围。
Electrons in a quantum dot are confined at the nanometer scale, so their energy levels are quantized and the gap widens as the dot shrinks. Smaller dots require higher energy for electron transitions, giving higher-frequency (bluer) photons. This size-based tuning lets one material cover the whole visible range.
难度 进阶 · 适合 初中(12-15)
CC BY 4.0 · 已核验 · Verified 2026-11-04
来源 · Source
A. P. Alivisatos,《Semiconductor Clusters, Nanocrystals, and Quantum Dots》,Science 271, 933–937,1996 (DOI: 10.1126/science.271.5251.933)
A. P. Alivisatos, 'Semiconductor Clusters, Nanocrystals, and Quantum Dots', Science 271, 933–937, 1996, DOI: 10.1126/science.271.5251.933
独立核验依据 · Independent verification: 核验依据 1 Crossref DOI 10.1126/science.271.5251.933
#量子限制 #量子点 #尺寸效应
什么是超导中的库珀对？
What are Cooper pairs in superconductivity?
在低温金属里，电子通过晶格振动（声子）间接相互吸引，配对成动量相反、自旋相反的库珀对；这些对能相干地无阻碍流动，形成零电阻的超导态。
In a cold metal, electrons attract via lattice vibrations (phonons) and form opposite-momentum, opposite-spin Cooper pairs that flow without resistance, producing superconductivity.
难度 进阶 · 适合 小学低段(6-8)
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Griffiths & Schroeter,《Introduction to Quantum Mechanics》第3版,Cambridge University Press,2018
D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018
独立核验依据 · Independent verification: 核验依据 2 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#量子 #超导 #库珀对
什么是隧穿效应？
What is quantum tunneling?
粒子有一定概率穿过高于其总能量的势垒，因为波函数在经典禁止区域指数衰减而非立即为零。这是核聚变的质子融合、扫描隧道显微镜等工作原理。
A particle has a finite probability to cross a barrier higher than its energy because its wavefunction decays exponentially rather than vanishing in the forbidden region. It underlies nuclear fusion and the scanning tunneling microscope.
难度 进阶 · 适合 初中(12-15)
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Griffiths & Schroeter,《Introduction to Quantum Mechanics》第3版,Cambridge University Press,2018
D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018
独立核验依据 · Independent verification: 核验依据 2 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#量子 #隧穿 #波函数
什么是量子退相干，它和波函数坍缩是一回事吗？
What is decoherence and is it the same as wavefunction collapse?
退相干是系统与环境纠缠导致量子叠加在宏观上消失的过程，它解释了为什么我们看不到日常物体的叠加。它并不解决测量问题（坍缩），只是让干涉项在实用上不可见。
Decoherence is the loss of phase coherence when a system entangles with its environment, explaining the appearance of classicality. It does not by itself solve the measurement problem.
难度 进阶 · 适合 初中(12-15)
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Griffiths & Schroeter,《Introduction to Quantum Mechanics》第3版,Cambridge University Press,2018
D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018
独立核验依据 · Independent verification: 核验依据 2 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#量子 #退相干 #测量
海森堡不确定性原理说的是测量会扰动系统吗？
Does Heisenberg's uncertainty say measurement disturbs the system?
这只是其中一个表现。更根本的是位置与动量等共轭量由非对易算符描述，它们没有共同本征态，因此两个量的分布宽度之积有下限 ℏ/2，与是否测量无关。
That is one consequence, but more fundamentally conjugate variables are described by non-commuting operators with no common eigenstates, so their spreads satisfy ΔxΔp ≥ ℏ/2 regardless of measurement.
难度 进阶 · 适合 小学高段(9-12)
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Griffiths & Schroeter,《Introduction to Quantum Mechanics》第3版,Cambridge University Press,2018
D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018
独立核验依据 · Independent verification: 核验依据 2 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#量子 #不确定性 #算符
为什么原子大部分是空的？
Why is an atom mostly empty space?
原子中心是很小的原子核，电子在远处广阔的空间里活动，两者之间的区域几乎没有物质，所以原子绝大部分是空的。
An atom has a tiny central nucleus with electrons active far away in a vast region, so almost all the volume between them is empty.
难度 进阶 · 适合 初中(12-15)
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：著录含书名，但缺版次 / 出版社 / 年份中的一部分，需编辑补全后才能做独立比对。
Rutherford，《物质对α、β粒子的散射及原子结构》，Philosophical Magazine 21 (1911)
Rutherford, 'The Scattering of alpha and beta Particles by Matter and the Structure of the Atom', Philosophical Magazine 21 (1911)
#原子 #原子核 #空间
医院里做核磁共振（MRI）时，磁场和射频是怎么让人体内部“显形”的？
In an MRI scan, how do magnetic fields and radio waves make the inside of the body visible?
人体组织中的氢核带自旋，在强磁场里绕磁场以拉莫尔频率进动；施加同频射频脉冲把它们倾倒，脉冲停止后核自旋在弛豫过程中放出可探测信号。不同组织的 T1、T2 弛豫时间不同，信号强弱差异就形成了图像对比。真正让内部“显形”的关键一步是叠加梯度磁场，使不同位置的拉莫尔频率各不相同，再经傅里叶变换把信号还原成断层图像。
Hydrogen nuclei in tissue carry spin and precess about the strong field at the Larmor frequency; a radio-frequency pulse at that same frequency tips them, and as they relax afterwards they emit a detectable signal. Tissues differ in their T1 and T2 relaxation times, and that difference in signal produces image contrast. The decisive step is superimposing gradient fields so that position is encoded in the Larmor frequency, letting a Fourier transform reconstruct cross-sectional images.
难度 进阶 · 适合 小学高段(9-12)
CC BY 4.0 · 已核验 · Verified 2026-10-04
来源 · Source
P. C. Lauterbur,《Image Formation by Induced Local Interactions: Examples Employing Nuclear Magnetic Resonance》,Nature 242,190–191(1973)
P. C. Lauterbur, 'Image Formation by Induced Local Interactions: Examples Employing Nuclear Magnetic Resonance', Nature 242, 190–191 (1973)
独立核验依据 · Independent verification: 核验依据 1 DOI 10.1038/242190a0
#核磁共振 #拉莫尔进动 #自旋
量子纠缠真的允许超光速通信吗？
Does quantum entanglement allow faster-than-light communication?
不可以。纠缠粒子关联的测量结果在统计上相关，但单方无法控制自己测量的结果，因此无法编码并发送信息；要比较两边结果仍需经典信道，受光速限制。
No. The correlated outcomes cannot be controlled by either party, so no controllable signal can be sent; comparing results still needs a classical channel limited by light speed.
难度 进阶 · 适合 小学高段(9-12)
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Griffiths & Schroeter,《Introduction to Quantum Mechanics》第3版,Cambridge University Press,2018
D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018
独立核验依据 · Independent verification: 核验依据 2 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#量子 #纠缠 #不可通信
为什么电子既是粒子又是波？
Why is an electron both a particle and a wave?
电子等微观粒子遵循量子力学，其状态由波函数描述；波函数给出在空间某处被发现的概率，而测量时它表现为局域的粒子。这种波粒二象性不是矛盾，而是概率幅随空间延展、测量结果离散的体现。
In quantum mechanics the electron's state is a wavefunction giving the probability of finding it at a point; a measurement localizes it like a particle. Wave-particle duality is the coexistence of spread-out probability amplitudes and discrete measurement outcomes.
难度 入门 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Griffiths & Schroeter,《Introduction to Quantum Mechanics》第3版,Cambridge University Press,2018
D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018
独立核验依据 · Independent verification: 核验依据 2 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#量子 #波粒二象性 #波函数
为什么东西摸起来是固体而不是一团雾？
Why do things feel solid instead of like a cloud?
原子里大部分是空的，但电子带负电、原子核带正电，靠近时电磁力像看不见的弹簧把原子推开，所以手被挡住，感觉是硬的。
Atoms are mostly empty, but their electrons and nuclei repel electromagnetically like invisible springs, so your hand is stopped and things feel hard.
难度 入门 · 适合 幼儿(3-6)
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Griffiths & Schroeter,《Introduction to Quantum Mechanics》第3版,Cambridge University Press,2018
D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018
独立核验依据 · Independent verification: 核验依据 2 ARCHIVE 标识 introduction-to-quantum-mechanics_202510：Intr
#量子 #原子 #电磁
什么是薛定谔的猫？
What is Schrödinger's cat?
这是一个思想实验：把一只猫和一个可能衰变并释放毒气的原子放在盒子里，在打开盒子前，按量子叠加猫既活着又死了，用来揭示叠加态在宏观上的反直觉。
A thought experiment where a cat is linked to a quantum event, so before observation it is in a superposition of alive and dead, highlighting how odd quantum superposition is at macroscopic scale.
难度 入门 · 适合 大众
CC BY 4.0 · 来源待核验 · Source pending review
来源 · Source
出处备注：此条未指向带版次的可引用著作（通识性内容、机构文件或未展开的英文书名），本库不提供独立书目出处；如需精确引用，需由编辑补全具体篇目与版次。
薛定谔1935
Schrödinger 1935
#量子 #叠加 #思想实验