Journal ArticleDOI
A one-way quantum computer.
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A scheme of quantum computation that consists entirely of one-qubit measurements on a particular class of entangled states, the cluster states, which are thus one-way quantum computers and the measurements form the program.Abstract:
We present a scheme of quantum computation that consists entirely of one-qubit measurements on a particular class of entangled states, the cluster states. The measurements are used to imprint a quantum logic circuit on the state, thereby destroying its entanglement at the same time. Cluster states are thus one-way quantum computers and the measurements form the program.read more
Citations
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Measurement-based quantum computation in a two-dimensional phase of matter
TL;DR: In this article, it was shown that the non-local correlations needed for measurement-based quantum computation (MBQC) can be revealed in the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model involving nearest-neighbour spin-3/2 interactions on a honeycomb lattice.
Journal ArticleDOI
Measurement-based quantum communication
TL;DR: The potential of using measurement-based elements in quantum communication schemes, where certain tasks are realized with the help of entangled resource states that are processed by measurements, is reviewed and discussed.
Journal ArticleDOI
Quantum computation, non-demolition measurements, and reflective control in living systems.
TL;DR: In this framework, enzymes are molecular automata of the extremal quantum computer, the set of which maintains highly ordered robust coherent state, and genome represents a concatenation of error-correcting codes into a single reflective set.
Journal ArticleDOI
Computational Power of Symmetry-Protected Topological Phases
TL;DR: It is proved that these Lie groups in MBQC always contain a full set of single-qubit gates, thereby affirming the long-standing conjecture that general SPT phases can serve as computationally useful phases of matter.
Journal ArticleDOI
Entangling logical qubits with lattice surgery
Alexander Erhard,Hendrik Poulsen Nautrup,Michael Meth,Lukas Postler,Roman Stricker,Martin Stadler,Vlad Negnevitsky,Martin Ringbauer,Philipp Schindler,Hans J. Briegel,Hans J. Briegel,Rainer Blatt,Rainer Blatt,Nicolai Friis,Nicolai Friis,Thomas Monz +15 more
TL;DR: In this paper, the authors describe the experimental realization of lattice surgery between two qubits protected via a topological error-correction code in a ten-qubit ion-trap quantum information processor.
References
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Journal ArticleDOI
Elementary gates for quantum computation.
Adriano Barenco,Charles H. Bennett,Richard Cleve,David P. DiVincenzo,Norman Margolus,Peter W. Shor,Tycho Sleator,John A. Smolin,Harald Weinfurter +8 more
TL;DR: U(2) gates are derived, which derive upper and lower bounds on the exact number of elementary gates required to build up a variety of two- and three-bit quantum gates, the asymptotic number required for n-bit Deutsch-Toffoli gates, and make some observations about the number of unitary operations on arbitrarily many bits.
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Quantum information and computation
TL;DR: In information processing, as in physics, the classical world view provides an incomplete approximation to an underlying quantum reality that can be harnessed to break codes, create unbreakable codes, and speed up otherwise intractable computations.
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Good quantum error-correcting codes exist
A. R. Calderbank,Peter W. Shor +1 more
TL;DR: The techniques investigated in this paper can be extended so as to reduce the accuracy required for factorization of numbers large enough to be difficult on conventional computers appears to be closer to one part in billions.
Journal ArticleDOI
Error Correcting Codes in Quantum Theory.
TL;DR: It is shown that a pair of states which are, in a certain sense, “macroscopically different,” can form a superposition in which the interference phase between the two parts is measurable, providing a highly stabilized “Schrodinger cat” state.
Journal ArticleDOI
Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations
TL;DR: It is shown that single quantum bit operations, Bell-basis measurements and certain entangled quantum states such as Greenberger–Horne–Zeilinger (GHZ) states are sufficient to construct a universal quantum computer.