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Updated: Jun 29, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
No cloning of quantum ensembles
Zhenyu Du1, Siyuan Cheng1, Qi Zhao2
1Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, China.
Scientists investigated quantum ensemble cloning, finding a new no-cloning theorem. While some barriers can be bypassed for physical systems, characterization remains computationally intractable, impacting quantum information science.
Area of Science:
- Quantum Physics
- Quantum Information Theory
- Quantum Thermodynamics
Background:
- Modern quantum physics allows control of individual quantum systems.
- Characterizing these systems requires measuring nonlinear properties, akin to cloning quantum ensembles.
- Novel non-equilibrium phenomena like deep thermalization and measurement-induced entanglement are being uncovered.
Purpose of the Study:
- To investigate the fundamental laws governing the cloning of quantum ensembles.
- To establish a general no-cloning theorem for arbitrary ensembles.
- To explore whether computational intractability can be circumvented for physical ensembles.
Main Methods:
- Information-theoretic analysis to establish a general no-cloning theorem.
- Investigation of physical ensembles generated by finite-time evolutions.
- Computational complexity analysis even with full circuit knowledge.
Main Results:
- A general no-cloning theorem for arbitrary quantum ensembles was established.
- The cloning barrier can be circumvented for physical ensembles from finite-time evolutions.
- Characterizing these ensembles remains computationally intractable, irrespective of known preparation circuits.
Conclusions:
- New fundamental principles of quantum mechanics are established.
- Intrinsic trade-offs exist between sample complexity, computational complexity, and quantum measurements.
- Problem-specific strategies are necessary for probing measurement-induced quantum phenomena.
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