Slide 1
... Protein folding: Can also get stuck at local optima (e.g., Mad Cow Disease) DNA computers: Just massively parallel classical computers! ...
... Protein folding: Can also get stuck at local optima (e.g., Mad Cow Disease) DNA computers: Just massively parallel classical computers! ...
Another version - Scott Aaronson
... Can every n-qubit unitary be implemented by a quantum circuit with poly(n) depth (but maybe exp(n) ancilla qubits)? Could we prove—unconditionally, with today’s technology—that exponentially many gates are needed to implement some n-qubit unitary U? Generalizations of the Natural Proofs barrier? ...
... Can every n-qubit unitary be implemented by a quantum circuit with poly(n) depth (but maybe exp(n) ancilla qubits)? Could we prove—unconditionally, with today’s technology—that exponentially many gates are needed to implement some n-qubit unitary U? Generalizations of the Natural Proofs barrier? ...
Quantum phase transition - Condensed Matter Theory and Quantum
... Three critical exponents can be defined this way: α=Λ(C,t), β=Λ(m,t) and γ=Λ(χ,t), where C is the heat capacity, m is the magnetization and χ is the magnetic susceptibility. ...
... Three critical exponents can be defined this way: α=Λ(C,t), β=Λ(m,t) and γ=Λ(χ,t), where C is the heat capacity, m is the magnetization and χ is the magnetic susceptibility. ...
Simple Harmonic Oscillator
... In principle qubit-based computers allow massively parallel calculations (each element of superposition acts as a separate process). Current state-of-the-art: 4-qubit superconducting chip from University of California, Santa Barbara (UCSB) Problem is “decoherence”, i.e. effective “measurement” of qu ...
... In principle qubit-based computers allow massively parallel calculations (each element of superposition acts as a separate process). Current state-of-the-art: 4-qubit superconducting chip from University of California, Santa Barbara (UCSB) Problem is “decoherence”, i.e. effective “measurement” of qu ...
powerpoint slides
... Quantum computation is fundamentally different from classical computation. Our present computers store information in bits, which can be either a 0 or a 1. ...
... Quantum computation is fundamentally different from classical computation. Our present computers store information in bits, which can be either a 0 or a 1. ...
Teleportation - American University in Cairo
... heat up and dematerialize one human body. • To store the encoded information of one human being it will need 1 followed by 20 zeros of the best available hard drives. So this limits our ability to teleport objects in terms of equipment. • It will take more than 2,400 times the present age of the uni ...
... heat up and dematerialize one human body. • To store the encoded information of one human being it will need 1 followed by 20 zeros of the best available hard drives. So this limits our ability to teleport objects in terms of equipment. • It will take more than 2,400 times the present age of the uni ...
Quantum Complexity and Fundamental Physics
... “A quantum computer is obviously just a souped-up analog computer: continuous voltages, continuous amplitudes, what’s the difference?” “A quantum computer with 400 qubits would have ~2400 classical bits, so it would violate a cosmological entropy bound” “My classical cellular automaton model can exp ...
... “A quantum computer is obviously just a souped-up analog computer: continuous voltages, continuous amplitudes, what’s the difference?” “A quantum computer with 400 qubits would have ~2400 classical bits, so it would violate a cosmological entropy bound” “My classical cellular automaton model can exp ...
Quantum Physics 2005 Notes-6 Solving the Time Independent Schrodinger Equation
... A specific example #For a finite square well of width L, we expect the energies to be h2$ 2 of order: E0 = and useful lengths to be of order L. ...
... A specific example #For a finite square well of width L, we expect the energies to be h2$ 2 of order: E0 = and useful lengths to be of order L. ...
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.