Deutsch`s Algorithm
... Generalize these ideas • So, we can distinguish by measurement between first two circuits from bottom and second two circuits from bottom. • This method is very general, we can build various oracles and check how they can be distinguished, by how many tests. • In this case, we just need one test, b ...
... Generalize these ideas • So, we can distinguish by measurement between first two circuits from bottom and second two circuits from bottom. • This method is very general, we can build various oracles and check how they can be distinguished, by how many tests. • In this case, we just need one test, b ...
A Study on Reversible Logic Gates of Quantum Computing
... though a qubit has discrete eigenstates, there is something analog about it also in the continuous range of superposition states that it can take on. In recent years quantum computing becomes a forefront research in the field of algorithms, cryptography and artificial intelligence [5,6].We can descr ...
... though a qubit has discrete eigenstates, there is something analog about it also in the continuous range of superposition states that it can take on. In recent years quantum computing becomes a forefront research in the field of algorithms, cryptography and artificial intelligence [5,6].We can descr ...
Quantum Connections
... and waves, that an object can be in many places at once and that two particles can maintain an eerie instantaneous connection even when separated by vast distances—quantum machines could make previously unthinkable computing, communication and measurement tasks trivial. To cite just one example, a q ...
... and waves, that an object can be in many places at once and that two particles can maintain an eerie instantaneous connection even when separated by vast distances—quantum machines could make previously unthinkable computing, communication and measurement tasks trivial. To cite just one example, a q ...
Limitations on quantum dimensionality reduction
... the so-called SMP, or simultaneous message passing, model of communication n complexity8). Associate each bit string with an orthonormal basis vector of R 2 . n Then the JL Lemma guarantees that there exists a map from R 2 into R OðnÞ such n that the inner products between all of these 2 vectors are ...
... the so-called SMP, or simultaneous message passing, model of communication n complexity8). Associate each bit string with an orthonormal basis vector of R 2 . n Then the JL Lemma guarantees that there exists a map from R 2 into R OðnÞ such n that the inner products between all of these 2 vectors are ...
Shor`s Algorithm and the Quantum Fourier Transform
... for any arbitrary |ψ". Hence, we have I = j |j" #j|. This allows us to represent any operator A as a linear combination of outer products since ...
... for any arbitrary |ψ". Hence, we have I = j |j" #j|. This allows us to represent any operator A as a linear combination of outer products since ...
Quantum Criticality and Black Holes
... Sean Hartnoll, KITP Christopher Herzog, Princeton Pavel Kovtun, Victoria Dam Son, Washington Markus Mueller, Harvard Subir Sachdev, Harvard ...
... Sean Hartnoll, KITP Christopher Herzog, Princeton Pavel Kovtun, Victoria Dam Son, Washington Markus Mueller, Harvard Subir Sachdev, Harvard ...
Quantum Dot Single Photon Sources Quantum Dots
... probilistic two-qubit gate implemented with single photons and linear optical elements. The gate requires photon number resolving counters and additional so-called ancilla states represented by photons which have to be indistinguishable. It relies on two-photon quantum interference, e.g. at a beam s ...
... probilistic two-qubit gate implemented with single photons and linear optical elements. The gate requires photon number resolving counters and additional so-called ancilla states represented by photons which have to be indistinguishable. It relies on two-photon quantum interference, e.g. at a beam s ...
The quantum phases of matter
... The double slit experiment Let |L� represent the state with the electron in the left slit ...
... The double slit experiment Let |L� represent the state with the electron in the left slit ...
Quantum states in phase space • classical vs. quantum statistics
... Again, the Wigner function is bounded by 2/π, but this time it is a strictly positive function, namely a Gaussian function centred at α0 (see Fig. 7). If we recall the naive phase-space picture derived after Eq. (5.16) we see that we can associate the uncertainty area with the area determined by the ...
... Again, the Wigner function is bounded by 2/π, but this time it is a strictly positive function, namely a Gaussian function centred at α0 (see Fig. 7). If we recall the naive phase-space picture derived after Eq. (5.16) we see that we can associate the uncertainty area with the area determined by the ...
the einstein-podolsky-rosen paradox and the nature of reality
... n 1935 Einstein, Podolsky and Rosen wrote a seminal paper about a thought experiment that led them to question the completeness of the theory of quantum mechanics [1]. The paradox identified in this paper arose from the fact that according to quantum mechanics, measurements of one member of a correl ...
... n 1935 Einstein, Podolsky and Rosen wrote a seminal paper about a thought experiment that led them to question the completeness of the theory of quantum mechanics [1]. The paradox identified in this paper arose from the fact that according to quantum mechanics, measurements of one member of a correl ...
Analysis of a Quantum Error Correcting Code using Quantum
... Alice wants to send a qubit to Bob over a noisy channel, represented by Noise. She uses a simple error correcting code based on threefold repetition [13, Chapter 10]. This code is able to correct a single bitflip error in each block of three transmitted qubits, so for the purpose of this example, in ...
... Alice wants to send a qubit to Bob over a noisy channel, represented by Noise. She uses a simple error correcting code based on threefold repetition [13, Chapter 10]. This code is able to correct a single bitflip error in each block of three transmitted qubits, so for the purpose of this example, in ...
