2016/08/31 by Timothy H. Hsieh
Computer Science · Mathematics · Physics and Astronomy · #Fermion #Hamiltonian (control theory) #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum computer #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Qubit #Theoretical physics #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevb.94.161112
published as Phys. Rev. B 94, 161112 (2016) · Published version, with more generalizations of the result included. 5 pages, 1 figure
openalex publication_date 2016/10/10 · arxiv created 2016/10/14 · arxiv updated 2016/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Though the no-cloning theorem [Wooters and Zurek, Nature (London) 299, 802 (1982)] prohibits exact replication of arbitrary quantum states, there are many instances in quantum information processing and entanglement measurement in which a weaker form of cloning may be useful. Here, I provide a construction for generating an ``entangled clone'' for a particular but rather expansive and rich class of states. Given a stabilizer code or free fermion Hamiltonian, this construction generates an exact entangled clone of the original ground state, in the sense that the entanglement between the original and the exact copy can be tuned to be arbitrarily small but finite, or large, and the relation between the original and the copy can also be modified to some extent. For example, this Rapid Communication focuses on generating time-reversed copies of stabilizer codes and particle-hole transformed ground states of free fermion systems, although untransformed clones can also be generated. The protocol leverages entanglement to simulate a transformed copy of the Hamiltonian without having to physically implement it and can potentially be realized in superconducting qubits or ultracold atomic systems.