Randomness cost of masking quantum information and the information conservation law

Correlational Resource Theory of Catalytic Quantum Randomness under Conservation Law

Catalysts are substances that assist transformation of other resourceful objects without being consumed in the process. However, the fact that their `catalytic power' is limited and can be depleted is often overlooked, especially in the recently developing theories on catalysis of quantum randomness utilizing building correlation with catalyst. In this work, we establish a resource theory of one-shot catalytic randomness in which uncorrelatedness is consumed in catalysis of randomness. We do so by completely characterizing bipartite unitary operators that can be used to implement catalysis of …

Randomness Extraction via Delta-Biased Masking in the Presence of a Quantum Attacker

Randomness extraction is of fundamental importance for information-theoretic cryptography. It allows to transform a raw key about which an attacker has some limited knowledge into a fully secure random key, on which the attacker has essentially no information. Up to date, only very few randomness-extraction techniques are known to work against an attacker holding quantum information on the raw key. This is very much in contrast to the classical (non-quantum) setting, which is much better understood and for which a vast amount of different techniques are known and proven to work. We prove a new…

The Min-entropy as a Resource for One-Shot Private State Transfer, Quantum Masking and State Transition

We give an operational meaning to the min-entropy of a quantum state as a resource measure for various interconnected tasks. In particular, we show that the min-entropy without smoothing measures the amount of quantum information that can be hidden or encoded perfectly in the one-shot setting when the quantum state is used as a randomness/correlation source. First, we show that the min-entropy of entanglement of a pure bipartite state is the maximum number of qubits privately transferable when the state is used as quantum one-time pad. Then, through the equivalence of quantum secret sharing(QS…

可观测量的不可屏蔽定理

No-masking theorem for observables

该研究将量子屏蔽概念推广至可观测量，证明不存在通用可观测量屏蔽幺正变换，发现量子比特下屏蔽操作与SWAP局域幺等价，推导了无条件比特承诺不成立结论，为量子信息通信提供新理论支撑。

Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction

Where does quantum mechanics part ways with classical mechanics? How does quantum randomness differ fundamentally from classical randomness? We cannot fully explain how the theories differ until we can derive them within a single axiomatic framework, allowing an unambiguous account of how one theory is the limit of the other. Here we derive nonrelativistic quantum mechanics and classical statistical mechanics within a common framework. The common axioms include conservation of average energy and conservation of probability current. But two axioms distinguish quantum mechanics from classical st…

在不违反守恒定律的情况下对离子量子散射进行心理干预

Mental intervention in quantum scattering of ions without violating conservation laws

本文提出心智可通过选择神经元轴丘中数千个离子的量子散射方向来触发放电，且不违反守恒定律，仅伴随极微小局部降温，并讨论其热力学代价与可检验性。