Mimicking time evolution within a quantum ground state: Ground-state quantum computation, cloning, and teleportation

2003/12/09 by Ari Mizel
Computer Science · Physics and Astronomy · #Ground state #One-way quantum computer #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum channel #Quantum cloning #Quantum computer #Quantum information #Quantum mechanics #Quantum network #Quantum state #Quantum teleportation #Superdense coding #quant-ph

paper · pdf · doi:10.1103/physreva.70.012304

10 pages, 7 figures

arxiv created 2003/12/09 · openalex publication_date 2004/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Ground-state quantum computers mimic quantum-mechanical time evolution within the amplitudes of a time-independent quantum state. We explore the principles that constrain this mimicking. A no-cloning argument is found to impose strong restrictions. It is shown, however, that there is flexibility that can be exploited using quantum teleportation methods to improve ground-state quantum computer design.

Citations

• Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Quantum Manipulations of Small Josephson Junctions
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Reversible logic and quantum computers
• Measurement of Conditional Phase Shifts for Quantum Logic
• A single quantum cannot be cloned
• Josephson-junction qubits with controlled couplings
• Elementary gates for quantum computation
• Quantum theory, the Church–Turing principle and the universal quantum computer