QUANTUM COMPUTING WITH SUPERCONDUCTORS I: ARCHITECTURES Michael R. Geller Andrew T. Sornborger
... principal effect of fixed, weak couplings is to lift degeneracies of the uncoupled qubit pair. However, because such interactions are always present (always turned on), the uncoupled qubit states, which are often used as computational basis states, are not stationary. A variety of approaches have be ...
... principal effect of fixed, weak couplings is to lift degeneracies of the uncoupled qubit pair. However, because such interactions are always present (always turned on), the uncoupled qubit states, which are often used as computational basis states, are not stationary. A variety of approaches have be ...
Document
... We have also made the assumption, following Thiemann, that quantum gravity acts as a “fundamental regulator” and therefore delocalized the product of electric fields to two different points tied together by the regulator f We now consider the electric and magnetic fields to be in a coherent states ...
... We have also made the assumption, following Thiemann, that quantum gravity acts as a “fundamental regulator” and therefore delocalized the product of electric fields to two different points tied together by the regulator f We now consider the electric and magnetic fields to be in a coherent states ...
Two types of potential functions and their use in the
... structure which we need, to develop the examples in Sections 3 and 4. We use elements from the set up in the paper by Haven (2015). For a lot more detail, the paper by Nelson (1966) is the essential reference. The book by Paul and Baschnagel (1999) is also an excellent source (see also Haven and Khr ...
... structure which we need, to develop the examples in Sections 3 and 4. We use elements from the set up in the paper by Haven (2015). For a lot more detail, the paper by Nelson (1966) is the essential reference. The book by Paul and Baschnagel (1999) is also an excellent source (see also Haven and Khr ...
Miracles, Materialism, and Quantum Mechanics
... 1. It is a wave equation whose solutions display interference effects. 2. It implies that time evolution is unitary and therefore reversible. 3. It is very, very difficult to solve for large systems (i.e. more than three particles). ...
... 1. It is a wave equation whose solutions display interference effects. 2. It implies that time evolution is unitary and therefore reversible. 3. It is very, very difficult to solve for large systems (i.e. more than three particles). ...
Undergraduate Laboratories Using Correlated Photons: Experiments on the Fundamentals of Quantum Physics
... the interferometer vertically polarized. The predicted probability is P = 1/2, independent of the arm-length difference. There is no interference. This is because the paths are now distinguishable. The circles in Figure 3 represent our measurements for this case. We note that we did not measure the ...
... the interferometer vertically polarized. The predicted probability is P = 1/2, independent of the arm-length difference. There is no interference. This is because the paths are now distinguishable. The circles in Figure 3 represent our measurements for this case. We note that we did not measure the ...
Quantum computing and mathematical research
... How to control the (initial) quantum states? How to create the appropriate environment for the quantum mechanical system to evolve without observing? How to “fight” decoherence (the interaction of the system and the external environment)? How to use the phenomena of superposition and entanglement ef ...
... How to control the (initial) quantum states? How to create the appropriate environment for the quantum mechanical system to evolve without observing? How to “fight” decoherence (the interaction of the system and the external environment)? How to use the phenomena of superposition and entanglement ef ...
Quantum Computer Compilers - Computer Science, Columbia
... • “I’d say almost any prediction about what a quantum computer will look like will, with high probability, be wrong. Ion trappers are encouraged because we can at least see a straightforward path to making a large processor, but the technical problems are extremely challenging. It might be fair to s ...
... • “I’d say almost any prediction about what a quantum computer will look like will, with high probability, be wrong. Ion trappers are encouraged because we can at least see a straightforward path to making a large processor, but the technical problems are extremely challenging. It might be fair to s ...
CSE 599d - Quantum Computing Introduction and Basics of
... These early results were all query complexity results, so I’ll just briefly tell you want a query complexity result is (we will return to this latter.) Let f be a function, which for simplicity we will say takes as input a n bit number. We might imagine that this function is computed by some machine ...
... These early results were all query complexity results, so I’ll just briefly tell you want a query complexity result is (we will return to this latter.) Let f be a function, which for simplicity we will say takes as input a n bit number. We might imagine that this function is computed by some machine ...
Steven Simon
... Two (or more) quasiparticles can exist in more than one state… described by a quantum number, ex 0 or 1 ...
... Two (or more) quasiparticles can exist in more than one state… described by a quantum number, ex 0 or 1 ...
QUANTUM ERROR CORRECTING CODES FROM THE
... “Kraus”) operators that describe the possible corruption by the channel of qubits encoded as states in, or operators on, the system Hilbert space. The main protocol for quantum error correction (QEC) [1–4] depends upon the existence and identification of states and operators on which the error opera ...
... “Kraus”) operators that describe the possible corruption by the channel of qubits encoded as states in, or operators on, the system Hilbert space. The main protocol for quantum error correction (QEC) [1–4] depends upon the existence and identification of states and operators on which the error opera ...
Majorana and the path-integral approach to Quantum Mechanics
... In discussing a given atomic system, Majorana points out how from one quantum state S of the system we can obtain another one S 0 by means of a symmetry operation. However, differently from what happens in Classical Mechanics for the single solutions of the dynamical equations, in general it is no l ...
... In discussing a given atomic system, Majorana points out how from one quantum state S of the system we can obtain another one S 0 by means of a symmetry operation. However, differently from what happens in Classical Mechanics for the single solutions of the dynamical equations, in general it is no l ...
Realization of the Cirac–Zoller controlled
... information is carried by two internal states of each ion. Computational operations are carried out by addressing the ions individually with a laser beam. Single-qubit rotations are performed using coherent excitation by a single laser pulse driving transitions between the qubit states. For a two-qu ...
... information is carried by two internal states of each ion. Computational operations are carried out by addressing the ions individually with a laser beam. Single-qubit rotations are performed using coherent excitation by a single laser pulse driving transitions between the qubit states. For a two-qu ...
Powerpoint 8/10
... What is their maximum probability of winning? Same as before. Why? Fix the random numbers. Run the protocol. Probability of winning will be less than ¾. Average over the random numbers. No help. Probability of winning is at most ¾. Probability of winning is at most ¾ ...
... What is their maximum probability of winning? Same as before. Why? Fix the random numbers. Run the protocol. Probability of winning will be less than ¾. Average over the random numbers. No help. Probability of winning is at most ¾. Probability of winning is at most ¾ ...
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.