ar X iv : q ua nt - p h / 01 02 14 0 v 1 2 7 Fe b 20 01 ENCODED UNIVERSALITY IN PHYSICAL IMPLEMENTATIONS OF A QUANTUM COMPUTER
نویسندگان
چکیده
We revisit the question of universality in quantum computing and propose a new paradigm. Instead of forcing a physical system to enact a predetermined set of universal gates (e.g., single-qubit operations and CNOT), we focus on the intrinsic ability of a system to act as a universal quantum computer using only its naturally available interactions. A key element of this approach is the realization that the fungible nature of quantum information allows for universal manipulations using quantum information encoded in a subspace of the full system Hilbert space, as an alternative to using physical qubits directly. Starting with the interactions intrinsic to the physical system, we show how to determine the possible universality resulting from these interactions over an encoded subspace. We outline a general Lie-algebraic framework which can be used to find the encoding for universality and give several examples relevant to NMR and solid-state quantum computing.
منابع مشابه
ar X iv : q ua nt - p h / 07 01 03 2 v 1 8 J an 2 00 7 SLOCC invariants and SLOCC classification of four qubits 1
X iv :q ua nt -p h/ 07 01 03 2v 1 8 J an 2 00 7 SLOCC invariants and SLOCC classification of four qubits 1 Dafa Li, Xiangrong Li, Hongtao Huang, Xinxin Li a Dept of mathematical sciences, Tsinghua University, Beijing 100084 CHINA b Department of Mathematics, University of California, Irvine, CA 92697-3875, USA c Electrical Engineering and Computer Science Department University of Michigan, Ann ...
متن کاملua nt - p h / 01 02 07 0 v 1 1 3 Fe b 20 01 State Preparation and Some Applications in Quantum Optics within the context of Quantum Information Theory
متن کامل
ar X iv : q ua nt - p h / 99 03 01 5 v 2 2 0 M ar 1 99 9 Disentanglement of pure bipartite quantum states by local cloning
We discuss disentanglement of pure bipartite quantum states within the framework of the schemes developed for entanglement splitting and broadcasting of entanglement. 1 email: [email protected]
متن کاملar X iv : q ua nt - p h / 01 01 14 7 v 1 3 1 Ja n 20 01 Radiation Trapping Radiation trapping in coherent media
We show that the effective decay rate of Zeeman coherence, generated in a 87 Rb vapor by linearly polarized laser light, increases significantly with the atomic density. We explain this phenomenon as the result of radiation trapping. Our study shows that radiation trapping must be taken into account to fully understand many electromagnetically induced transparency experiments with optically thi...
متن کاملar X iv : q ua nt - p h / 01 10 02 4 v 1 4 O ct 2 00 1 Real continuum
Some physical consequences of the negation of the continuum hypothesis are considered. It is shown that quantum and classical mechanics are component parts of the multicomponent description of the set of variable infinite cardinality. Existence and properties of the set follow directly from the independence of the continuum hypothesis. Particular emphasis is laid on set-theoretic aspect.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001