Shor`s Algorithm for Factorizing Large Integers
... Construct a quantum computer with q 2 = 22 qubits (plus additional qubits for ‘workspace’). The base states are denoted |a, b = |a|b where a, b are binary vectors (i.e. vectors with entries 0,1) of length . Equivalently, a and b (called registers 1 and 2) are integers < q written in binary. At ...
... Construct a quantum computer with q 2 = 22 qubits (plus additional qubits for ‘workspace’). The base states are denoted |a, b = |a|b where a, b are binary vectors (i.e. vectors with entries 0,1) of length . Equivalently, a and b (called registers 1 and 2) are integers < q written in binary. At ...
Categorifying Fundamental Physics John Baez Despite the
... q-deformation [15]. Quantum groups [16] are algebraic structures which appear in several approaches to fundamental physics, including string theory [17] and loop quantum gravity [18]. Like groups, they are used to describe symmetries, but they are not really groups. Instead, they are a type of alge ...
... q-deformation [15]. Quantum groups [16] are algebraic structures which appear in several approaches to fundamental physics, including string theory [17] and loop quantum gravity [18]. Like groups, they are used to describe symmetries, but they are not really groups. Instead, they are a type of alge ...
Pdf
... It is the purpose of the present note to clarify this transition from the standpoint of the cluster theory of the equation of state in a form which need make no mechanical special appeal to the usual quantum perturbation theory; our formalism is valid for arbitrarily strong interactions. In this res ...
... It is the purpose of the present note to clarify this transition from the standpoint of the cluster theory of the equation of state in a form which need make no mechanical special appeal to the usual quantum perturbation theory; our formalism is valid for arbitrarily strong interactions. In this res ...
High-fidelity Z-measurement error encoding of optical qubits
... induced, and syndrome measured. The final bit flip correction is not made. A single qubit prepared in an arbitrary state 兩典 = ␣兩0典 + 兩1典 is input into the target mode of a nondeterministic photonic CNOT gate. An ancilla qubit in the real equal superposition 兩0典 + 兩1典 is input into the control. We ...
... induced, and syndrome measured. The final bit flip correction is not made. A single qubit prepared in an arbitrary state 兩典 = ␣兩0典 + 兩1典 is input into the target mode of a nondeterministic photonic CNOT gate. An ancilla qubit in the real equal superposition 兩0典 + 兩1典 is input into the control. We ...
PPT - Fernando Brandao
... where up to error exp(-lε2), μX only has support on states that are poly(d)ε-close to a state compatible with statistics. Standard de Finetti allows us to apply same reasoning to general ωn (by symmetrizing it, tracing out n-k copies and measuring l of the remaining k copies). Same conclusion as bef ...
... where up to error exp(-lε2), μX only has support on states that are poly(d)ε-close to a state compatible with statistics. Standard de Finetti allows us to apply same reasoning to general ωn (by symmetrizing it, tracing out n-k copies and measuring l of the remaining k copies). Same conclusion as bef ...
A Full-Quantum Three-Dimensional Analysis of the Dynamics of a
... At this stage, a meaningful question would be whether one can experimentally probe the difference between these two pictures. Again, if one compares the ensemble of the classical point atoms with the quantum wave packet description, it does not seem easy at all to tell any difference between the two ...
... At this stage, a meaningful question would be whether one can experimentally probe the difference between these two pictures. Again, if one compares the ensemble of the classical point atoms with the quantum wave packet description, it does not seem easy at all to tell any difference between the two ...
Nanowires for Quantum Optics - Leo Kouwenhoven
... Our first goal was to define a high quality nanowire quantum dot heterostructure, where the emission linewidth would be narrow enough to enable quantum optics experiments. We obtained high quality quantum dots made of InAsP in an InP nanowire with a thin InP shell acting as a surface passivation fo ...
... Our first goal was to define a high quality nanowire quantum dot heterostructure, where the emission linewidth would be narrow enough to enable quantum optics experiments. We obtained high quality quantum dots made of InAsP in an InP nanowire with a thin InP shell acting as a surface passivation fo ...
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... At attempt to use lattice gauge theory to do nonperurbative quantum gravity was made. The spacetime connection for parallel transport was the gauge field. The physical conjecture was that perturbatively non-renormalizable models correspond to fixed points of their renormalization groups. This led no ...
... At attempt to use lattice gauge theory to do nonperurbative quantum gravity was made. The spacetime connection for parallel transport was the gauge field. The physical conjecture was that perturbatively non-renormalizable models correspond to fixed points of their renormalization groups. This led no ...
Fault-Tolerant Quantum Computation and the Threshold Theorem
... threshold theorem. These models must be motivated by the physics of our devices. Noise here includes all of the possible sorts of errant processes we described above, i.e. preparation, measurement, gate, and decoherence. An assumption which is most often made about decoherence is that it follows an ...
... threshold theorem. These models must be motivated by the physics of our devices. Noise here includes all of the possible sorts of errant processes we described above, i.e. preparation, measurement, gate, and decoherence. An assumption which is most often made about decoherence is that it follows an ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.