Quantum Computation
... But QC can find periodicity. 1994-Peter Shor – can be used to factorize large numbers. Is RSA encryption in danger? ...
... But QC can find periodicity. 1994-Peter Shor – can be used to factorize large numbers. Is RSA encryption in danger? ...
Ex 2
... Suppose Alice and Bob share two pairs of EPR states, and they wish to apply Teleportation of a state of two qubits instead of one. The two qubits may be in an arbitrary (possibly entangled) quantum state. Write a quantum circuit that does the trick, and prove that it works for any initial state of t ...
... Suppose Alice and Bob share two pairs of EPR states, and they wish to apply Teleportation of a state of two qubits instead of one. The two qubits may be in an arbitrary (possibly entangled) quantum state. Write a quantum circuit that does the trick, and prove that it works for any initial state of t ...
Quantum Numbers
... C is called an s orbital if it equals 0 D is called a d orbital if it equals 1 E is called an f orbital if it equals 2 3 The magnetic quantum number A has integral values from l to +l including 0 B has integral values from l to +l excluding 0 C indicates the position of an orbital in three dimens ...
... C is called an s orbital if it equals 0 D is called a d orbital if it equals 1 E is called an f orbital if it equals 2 3 The magnetic quantum number A has integral values from l to +l including 0 B has integral values from l to +l excluding 0 C indicates the position of an orbital in three dimens ...
3.4 Quantum Numbers
... • The Zeemen effect showed that if a gas discharge tube was placed near a strong magnet some single lines in the spectrum split into new lines that were not initially present l ...
... • The Zeemen effect showed that if a gas discharge tube was placed near a strong magnet some single lines in the spectrum split into new lines that were not initially present l ...
Quantum Memories at Room-Temperature Supervisors: Dr Dylan
... For the Master’s project, we are proposing an investigation into a new noise-suppression technique in our lambda Raman quantum memory. This will be demonstration of a new protocol: a quantum Zeno noise suppression technique to kill a noise-process prohibits quantum operation, a process known as four ...
... For the Master’s project, we are proposing an investigation into a new noise-suppression technique in our lambda Raman quantum memory. This will be demonstration of a new protocol: a quantum Zeno noise suppression technique to kill a noise-process prohibits quantum operation, a process known as four ...
The Learnability of Quantum States
... amplitudes for the individual photons For example, the amplitude of the final state |1,1 in the Hong-Ou-Mandel experiment is ...
... amplitudes for the individual photons For example, the amplitude of the final state |1,1 in the Hong-Ou-Mandel experiment is ...
Quantum dots and radio-frequency electrometers in silicon
... Cavendish Laboratory, University of Cambridge An important goal for solid-state quantum computing is to confine a single electron in silicon, then manipulate and subsequently determine its spin state. Silicon has a low nuclear spin density which, together with the low spin-orbit coupling in this mat ...
... Cavendish Laboratory, University of Cambridge An important goal for solid-state quantum computing is to confine a single electron in silicon, then manipulate and subsequently determine its spin state. Silicon has a low nuclear spin density which, together with the low spin-orbit coupling in this mat ...
QUANTUM DOTS
... The paper that I have chosen is Daniel Loss, David P.DiVincenzo, Quantum computation with quantum dots, Physical Review 1998 57 1. The reason of my choice is because I think is a very interesting field and is completely new for me. A quantum dot is a system of electrons fully confined in 3D with a d ...
... The paper that I have chosen is Daniel Loss, David P.DiVincenzo, Quantum computation with quantum dots, Physical Review 1998 57 1. The reason of my choice is because I think is a very interesting field and is completely new for me. A quantum dot is a system of electrons fully confined in 3D with a d ...
Quantum Computing
... • Can do operations on all superpositions…like parallel computation – One math operation on 2n numbers encoded with n bits requires 2n steps or 2n parallel processors – The same operation on 2n numbers encoded by n qubits takes 1 step ...
... • Can do operations on all superpositions…like parallel computation – One math operation on 2n numbers encoded with n bits requires 2n steps or 2n parallel processors – The same operation on 2n numbers encoded by n qubits takes 1 step ...
Public information security in a post-quantum world
... We find the per iod P in Step 2, and then we just continue with the rest of the algor ithm: Step 3: If / Then If per iod P is odd, go back to Step 1; Else, continue ...
... We find the per iod P in Step 2, and then we just continue with the rest of the algor ithm: Step 3: If / Then If per iod P is odd, go back to Step 1; Else, continue ...
The principal quantum number (n) cannot be zero. The allowed
... Quantum Numbers The Bohr model was a one-dimensional model that used one quantum number to describe the distribution of electrons in the atom. The only information that was important was the size of the orbit, which was described by the n quantum number. Schrödinger's model allowed the electron to o ...
... Quantum Numbers The Bohr model was a one-dimensional model that used one quantum number to describe the distribution of electrons in the atom. The only information that was important was the size of the orbit, which was described by the n quantum number. Schrödinger's model allowed the electron to o ...
Q.M3 Home work 9 Due date 3.1.15 1
... Coherent state2 of a one-dimensional simple harmonic oscillator is defined to be an eigenstate of the (non-Hermitian) annihilation operator a: a|λi = λ|λi where λ is, in general, a complex number. Prove that: |λi = e−|λ| ...
... Coherent state2 of a one-dimensional simple harmonic oscillator is defined to be an eigenstate of the (non-Hermitian) annihilation operator a: a|λi = λ|λi where λ is, in general, a complex number. Prove that: |λi = e−|λ| ...
Holonomic quantum computation with neutral atoms
... The standard paradigm of quantum computation (QC) [1] is a dynamical one: in order to manipulate the quantum state of systems encoding information, local interactions between low dimensional subsystems (qubits) are switched on and off in such a way to enact a sequence of quantum gates. On the other h ...
... The standard paradigm of quantum computation (QC) [1] is a dynamical one: in order to manipulate the quantum state of systems encoding information, local interactions between low dimensional subsystems (qubits) are switched on and off in such a way to enact a sequence of quantum gates. On the other h ...
Quantum Problems 1. Consider a quantum system whose state at
... where |ψ1 i and |ψ2 i are energy eigenstates with eigenvalues E1 and E2 respectively. (E1 6= E2 .) (a) Calculate the uncertainty ∆E of the system, as well as the first time t2 > t1 at which |Ψ(t2 )i becomes orthogonal to |Ψ(t1 )i. Show that (∆E)(∆t) ≥ h̄, where ∆t = t2 − t1 . (b) Assume that the abo ...
... where |ψ1 i and |ψ2 i are energy eigenstates with eigenvalues E1 and E2 respectively. (E1 6= E2 .) (a) Calculate the uncertainty ∆E of the system, as well as the first time t2 > t1 at which |Ψ(t2 )i becomes orthogonal to |Ψ(t1 )i. Show that (∆E)(∆t) ≥ h̄, where ∆t = t2 − t1 . (b) Assume that the abo ...
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.