Distilling Unitary Operations: A No-Go Theorem and Minimal Realization
Fuente:
arXiv
Saved in:
| Main Authors: | Zhao, Jiayi, Chen, Yu-Ao, Zhen, Guocheng, Zhu, Chengkai, Chen, Ranyiliu, Wang, Xin |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Structure, Optimality, and Symmetry in Shadow Unitary Inversion
by: Zhen, Guocheng, et al.
Published: (2025)
by: Zhen, Guocheng, et al.
Published: (2025)
Quantifying Unextendibility via Virtual State Extension
by: Yao, Hongshun, et al.
Published: (2025)
by: Yao, Hongshun, et al.
Published: (2025)
No-Go Theorems for Universal Quantum State Purification via Classically Simulable Operations
by: He, Keming, et al.
Published: (2025)
by: He, Keming, et al.
Published: (2025)
Reversing Unknown Quantum Processes via Virtual Combs for Channels with Limited Information
by: Zhu, Chengkai, et al.
Published: (2024)
by: Zhu, Chengkai, et al.
Published: (2024)
Simulation of Adjoints and Petz Recovery Maps for Unknown Quantum Channels
by: Zhu, Chengkai, et al.
Published: (2026)
by: Zhu, Chengkai, et al.
Published: (2026)
Power and limitations of distributed quantum state purification
by: Zhao, Benchi, et al.
Published: (2025)
by: Zhao, Benchi, et al.
Published: (2025)
Quantum Algorithm for Reversing Unknown Unitary Evolutions
by: Chen, Yu-Ao, et al.
Published: (2024)
by: Chen, Yu-Ao, et al.
Published: (2024)
No-Go Theorem for Ancilla-Assisted Gaussian Enhancement in Passive-Unitary Estimation
by: Gong, Zihao, et al.
Published: (2026)
by: Gong, Zihao, et al.
Published: (2026)
Optimal Hamiltonian recognition of unknown quantum dynamics
by: Zhu, Chengkai, et al.
Published: (2024)
by: Zhu, Chengkai, et al.
Published: (2024)
All Real Projective Measurements Can be Self-tested
by: Chen, Ranyiliu, et al.
Published: (2023)
by: Chen, Ranyiliu, et al.
Published: (2023)
Amortized Stabilizer Rényi Entropy of Quantum Dynamics
by: Zhu, Chengkai, et al.
Published: (2024)
by: Zhu, Chengkai, et al.
Published: (2024)
Quantum Uncertainty Equalities and Inequalities for Unitary Operators
by: Liu, Ao-Xiang, et al.
Published: (2024)
by: Liu, Ao-Xiang, et al.
Published: (2024)
Beyond real: Investigating the role of complex numbers in self-testing
by: Chen, Ranyiliu, et al.
Published: (2025)
by: Chen, Ranyiliu, et al.
Published: (2025)
No-Go Theorem for Singularity Resolution
by: Zhang, Zhen-Xiao, et al.
Published: (2026)
by: Zhang, Zhen-Xiao, et al.
Published: (2026)
Classical communication cost of a bipartite quantum channel assisted by non-signalling correlations
by: Zhu, Chengkai, et al.
Published: (2024)
by: Zhu, Chengkai, et al.
Published: (2024)
Efficient Inversion of Unknown Unitary Operations with Structured Hamiltonians
by: Mo, Yin, et al.
Published: (2025)
by: Mo, Yin, et al.
Published: (2025)
Virtual Quantum Markov Chains
by: Chen, Yu-Ao, et al.
Published: (2023)
by: Chen, Yu-Ao, et al.
Published: (2023)
Unitary Realizations of Synchronizing Automata in Quantum Systems
by: Stempin, Jȩdrzej, et al.
Published: (2026)
by: Stempin, Jȩdrzej, et al.
Published: (2026)
No-Go Theorems for Universal Entanglement Purification
by: Zang, Allen, et al.
Published: (2024)
by: Zang, Allen, et al.
Published: (2024)
Asymmetric Linear-Combination-of-Unitaries Realization of Quantum Convolution via Modular Adders
by: Yang, Chen, et al.
Published: (2026)
by: Yang, Chen, et al.
Published: (2026)
A purely Quantum Generative Modeling through Unitary Scrambling and Collapse
by: Li, Yihua, et al.
Published: (2025)
by: Li, Yihua, et al.
Published: (2025)
Estimate distillable entanglement and quantum capacity by squeezing useless entanglement
by: Zhu, Chengkai, et al.
Published: (2023)
by: Zhu, Chengkai, et al.
Published: (2023)
Undecidability of the Unitary Hitting Time Problem: No Universal Time-Step Selector and an Operational No-Go for Finite-Time Decisions
by: Matsuura, Katsufumi
Published: (2025)
by: Matsuura, Katsufumi
Published: (2025)
A Unitary Operator Construction Solution Based on Pauli Group for Maximal Dense Coding
by: Liu, Wenjie, et al.
Published: (2023)
by: Liu, Wenjie, et al.
Published: (2023)
Realizing Unitary $k$-designs with a Single Quench
by: Zhou, Yi-Neng, et al.
Published: (2025)
by: Zhou, Yi-Neng, et al.
Published: (2025)
Realizing Scalable Conditional Operations through Auxiliary Energy Levels
by: Zhang, Sheng, et al.
Published: (2024)
by: Zhang, Sheng, et al.
Published: (2024)
Entanglement cost of discriminating quantum states under locality constraints
by: Zhu, Chenghong, et al.
Published: (2024)
by: Zhu, Chenghong, et al.
Published: (2024)
Limitations of Classically-Simulable Measurements for Quantum State Discrimination
by: Zhu, Chengkai, et al.
Published: (2023)
by: Zhu, Chengkai, et al.
Published: (2023)
Operator Spreading in Random Unitary Circuits with Unitary-invariant Gate Distributions
by: Tan, Zhiyang, et al.
Published: (2025)
by: Tan, Zhiyang, et al.
Published: (2025)
Circuit Knitting Faces Exponential Sampling Overhead Scaling Bounded by Entanglement Cost
by: Jing, Mingrui, et al.
Published: (2024)
by: Jing, Mingrui, et al.
Published: (2024)
A No-Go Theorem for Shaping Quantum Resources
by: Alperin, Samuel
Published: (2025)
by: Alperin, Samuel
Published: (2025)
Strengthening the No-Go Theorem for QRNGs
by: Mongia, Vardaan, et al.
Published: (2025)
by: Mongia, Vardaan, et al.
Published: (2025)
Maximal device-independent randomness in every dimension
by: Farkas, Máté, et al.
Published: (2024)
by: Farkas, Máté, et al.
Published: (2024)
Entanglement cost of bipartite quantum channel discrimination under positive partial transpose operations
by: Zhu, Chengkai, et al.
Published: (2026)
by: Zhu, Chengkai, et al.
Published: (2026)
Optimal unilocal virtual quantum broadcasting
by: Yao, Hongshun, et al.
Published: (2023)
by: Yao, Hongshun, et al.
Published: (2023)
Local Marking of Locally Implementable Unitary Operations
by: Imam, Adil, et al.
Published: (2026)
by: Imam, Adil, et al.
Published: (2026)
Going beyond quantum Markovianity and back to reality: An exact master equation study
by: Wang, Zhao-Ming, et al.
Published: (2024)
by: Wang, Zhao-Ming, et al.
Published: (2024)
A Variational Approach to Learning Photonic Unitary Operators
by: Bezuidenhout, Hadrian, et al.
Published: (2024)
by: Bezuidenhout, Hadrian, et al.
Published: (2024)
Universally-Charging Protocols for Quantum Batteries: A No-Go Theorem
by: Sathe, Pratik, et al.
Published: (2024)
by: Sathe, Pratik, et al.
Published: (2024)
Efficient Quantum Circuits for Non-Unitary and Unitary Diagonal Operators with Space-Time-Accuracy trade-offs
by: Zylberman, Julien, et al.
Published: (2024)
by: Zylberman, Julien, et al.
Published: (2024)
Similar Items
-
Structure, Optimality, and Symmetry in Shadow Unitary Inversion
by: Zhen, Guocheng, et al.
Published: (2025) -
Quantifying Unextendibility via Virtual State Extension
by: Yao, Hongshun, et al.
Published: (2025) -
No-Go Theorems for Universal Quantum State Purification via Classically Simulable Operations
by: He, Keming, et al.
Published: (2025) -
Reversing Unknown Quantum Processes via Virtual Combs for Channels with Limited Information
by: Zhu, Chengkai, et al.
Published: (2024) -
Simulation of Adjoints and Petz Recovery Maps for Unknown Quantum Channels
by: Zhu, Chengkai, et al.
Published: (2026)