2 citations · 2 across the 12 of their papers we have counts for
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Memory dimension detection in open quantum dynamics via pseudo-control
Chang Liu, Alexander Yosifov, Ximing Wang +2
Characterising open quantum dynamics requires identifying the environmental degrees of freedom that shape the system's evolution. The memory dimension, defined as the size of the s…
On the geometry and typicality of quantum magic
Zhenhuan Liu, Zi-Wen Liu
We prove that, for an -qubit system of dimension , every state satisfying , with , lies inside the stabiliz…
Witness expansion: A unified framework for analytical and measurable mixed-state resource detection
Yifan Tang, Chengkai Zhu, Yuzhen Zhang +6
Quantum information science aims to harness different kinds of quantum resources to accomplish specific information-processing tasks. These resources also play an increasingly impo…
Exponential speedup in measurement property learning with post-measurement states
Zhenhuan Liu, Qi Ye, Zhenyu Cai +1
Learning properties of quantum states and channels is known to benefit from resources such as entangled operations, auxiliary qubits, and adaptivity, whereas the resource structure…
Triangle Criterion: a mixed-state magic criterion with applications in distillation and detection
Zhenhuan Liu, Tobias Haug, Qi Ye +2
We introduce a mixed-state magic criterion, the Triangle Criterion, which plays a role for magic analogous to the Positive Partial Transposition (PPT) Criterion for entanglement: i…
Realizing Universal Non-Markovian Noise Suppression
Hongfeng Liu, Zizhao Han, Xinfang Nie +2
Non-Markovian noise, arising from environmental memory effects, is the most general and challenging form of noise in quantum computing, and is typically difficult to characterize a…
Exponential Advantage from One More Replica in Estimating Nonlinear Properties of Quantum States
Qi Ye, Zhenhuan Liu, Dong-Ling Deng
Inferring nonlinear features of quantum states is fundamentally important across quantum information science, but remains challenging due to the intrinsic linearity of quantum mech…
No Universal Purification in Quantum Mechanics
Zhenhuan Liu, Zhenyu Du, Jens Eisert +2
Many central tasks in fundamental physics and quantum information processing are possible only insofar as mixed quantum states can be made purer. In this work, we prove that the li…
Optimal randomized measurements for a family of non-linear quantum properties
Zhenyu Du, Yifan Tang, Andreas Elben +3
Quantum learning encounters fundamental challenges when estimating non-linear properties, owing to the inherent linearity of quantum mechanics. Although recent advances in single-c…
No Practical Quantum Broadcasting: Even Virtually
Yunlong Xiao, Xiangjing Liu, Zhenhuan Liu
Quantum information cannot be broadcast -- an intrinsic limitation imposed by quantum mechanics. However, recent advances in virtual operations offer new insights into the no-broad…
Non-Markovian Noise Suppression Simplified through Channel Representation
Zhenhuan Liu, Yunlong Xiao, Zhenyu Cai
Non-Markovian noise, arising from memory effects in the environment, poses substantial challenges to conventional quantum noise suppression protocols, including quantum error corre…
Exponential Separations between Quantum Learning with and without Purification
Zhenhuan Liu, Weiyuan Gong, Zhenyu Du +1
In quantum learning tasks, quantum memory can offer exponential reductions in statistical complexity compared to any single-copy strategies, but this typically necessitates at leas…
Virtual Channel Purification
Zhenhuan Liu, Xingjian Zhang, Yue-Yang Fei +1
Quantum error mitigation is a key approach for extracting target state properties on state-of-the-art noisy machines and early fault-tolerant devices. Using the ideas from flag fau…