Approximate cloning of structured pure states
quant-ph, cs.IT, math.IT
Submitted: 2026-10-05
Updated: 2026-10-05
Comments: 44 pages main text, 40 pages appendices
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Sources
- Cloning is as Hard as Learning for Stabilizer States
- Optimal cloning of coherent states with a linear amplifier and beam splitters
- Optimal tomography of bosonic and fermionic Gaussian states
- Optimal algorithms for learning quantum phase states
- Learning stabilizer states by Bell sampling
- Optimal physical approximations of pure-state cloning and transposition are complementary channels
- Optimal universal quantum cloning and state estimation
- Schur-Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations
- A complete theory of the Clifford commutant
- Learning quantum states prepared by shallow circuits in polynomial time
- The Church of the Symmetric Subspace
- The symplectic rank of non-Gaussian quantum states
- Cloning Quantum Channels
- The optimal cloning of quantum coherent states is non-Gaussian
- Quantum amplification and purification of noisy coherent states
- Optimal cloning of mixed Gaussian states
- Joint measurements via quantum cloning
- General Entanglement Breaking Channels
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