Quantum Information Theory

Nonequilibrium frequency-dependent noise through a quantum dot: A real-time functional renormalization group approach

Date: 
2011-05-10
Author(s): 

C. P. Moca, P. Simon, C. H. Chung, and G. Zaránd

Reference: 

Phys. Rev. B 83, 201303(R) (2011)

We construct a real time current-conserving functional renormalization group (RG) scheme on the Keldysh contour to study frequency-dependent transport and noise through a quantum dot in the local moment regime. We find that the current vertex develops a nontrivial nonlocal structure in time that is governed by a new set of RG equations. Solving these RG equations, we compute the complete frequency and temperature dependence of the noise spectrum.

14-qubit entanglement: creation and coherence

Date: 
2011-03-31
Author(s): 

T. Monz, P. Schindler, J.T. Barreiro, M. Chwalla, D. Nigg, W.A. Coish, M. Harlander, W. Hänsel, M. Hennrich, R. Blatt

Reference: 

Phys. Rev. Lett. 106, 130506 (2011)
doi: 10.1103/PhysRevLett.106.130506

We report the creation of Greenberger-Horne-Zeilinger states with up to 14 qubits. By investigating the coherence of up to 8 ions over time, we observe a decay proportional to the square of the number of qubits. The observed decay agrees with a theoretical model which assumes a system affected by correlated, Gaussian phase noise. This model holds for the majority of current experimental systems developed towards quantum computation and quantum metrology.

ExperimentalRepetitive Quantum Error Correction

Date: 
2011-05-27
Author(s): 

P. Schindler, J.T. Barreiro, T. Monz, V. Nebendahl, D. Nigg, M. Chwalla, M. Hennrich, and R. Blatt

Reference: 

Science 332, 1059
doi: 10.1126/science.1203329

The computational potential of a quantum processor can only be unleashed if errors during a quantum computation can be controlled and corrected for. Quantum error correction works if imperfections of quantum gate operations and measurements are below a certain threshold and corrections can be applied repeatedly. We implement multiple quantum error correction cycles for phase-flip errors on qubits encoded with trapped ions. Errors are corrected by a quantum-feedback algorithm using high-fidelity gate operations and a reset technique for the auxiliary qubits.

Simulating open quantum systems: from many-body interactions to stabilizer pumping

Date: 
2011-08-09
Author(s): 

M. Müller, K. Hammerer, Y. Zhou, C. F. Roos, P. Zoller

Reference: 

New J. Physics. 13, 085007
doi:10.1088/1367-2630/13/8/085007

In a recent experiment, Barreiro et al (2011 Nature 470 486) demonstrated the fundamental building blocks of an open-system quantum simulator with trapped ions. Using up to five ions, dynamics were realized by sequences that combined single- and multi-qubit entangling gate operations with optical pumping. This enabled the implementation of both coherent many-body dynamics and dissipative processes by controlling the coupling of the system to an artificial, suitably tailored environment.

The quantum Zeno effect and quantum feedback in cavity QED

Date: 
2010-09-30
Author(s): 

I. Dotsenko, J. Bernu, S. Deléglise, C. Sayrin, M. Brune, J.M. Raimond, S. Haroche, M. Mirrahimi, P. Rouchon

Reference: 

Physica Scripta T140, 014004 (2010)
doi: 10.1088/0031-8949/2010/T140/014004

We explore experimentally the fundamental projective properties of a quantum measurement and their application in the control of a system’s evolution. We perform quantum non-demolition (QND) photon counting on a microwave field trapped in a very-high-Q superconducting cavity, employing circular Rydberg atoms as non-absorbing probes of light. By repeated measurement of the cavity field we demonstrated the freeze of its initially coherent evolution, illustrating the back action of the photon number measurement on the field’s phase.

Optimal bounds for quantum bit commitment

Date: 
2011-10-22
Author(s): 

A. Chailloux, I. Kerenidis

Reference: 

Proceedings of the 52nd Annual IEEE Symposium on Foundations of Computer Science (FOCS 2011)

Bit commitment is a fundamental cryptographic primitive with numerous applications. Quantum information allows for bit commitment schemes in the information theoretic setting where no dishonest party can perfectly cheat. The previously best-known quantum protocol by Ambainis achieved a cheating probability of at most 3/4, while Kitaev showed that no quantum protocol can have cheating probability less than 1/sqrt{2}. Closing this gap has since been an important and open question. In this paper, the authors provide the optimal bound for quantum bit commitment.

Q-ESSENCE Project meeting

Date: 
2011-09-09
Place: 
QIPC 2011 conference in Zurich

The Q-ESSENCE project meeting will take place during the QIPC 2011 conference in Zurich. The exact time is 16:30-18:50 on the Friday 9th September 2011. A joint dinner will follow afterwards.

No extension of quantum theory can have improved predictive power

Date: 
2011-08-02
Author(s): 

Roger Colbeck & Renato Renner

Reference: 

Nature Communications 2, Article number: 411, doi:10.1038/ncomms1416

According to quantum theory, measurements generate random outcomes, in stark contrast with classical mechanics. This raises the question of whether there could exist an extension of the theory that removes this indeterminism, as suspected by Einstein, Podolsky and Rosen. Although this has been shown to be impossible, existing results do not imply that the current theory is maximally informative. Here we ask the more general question of whether any improved predictions can be achieved by any extension of quantum theory.

Large Quantum Superpositions and Interference of Massive Nanometer-Sized Objects

Date: 
2011-07-07
Author(s): 

O. Romero-Isart, A. C. Pflanzer, F. Blaser, R. Kaltenbaek, N. Kiesel, M. Aspelmeyer, and J. I. Cirac

Reference: 

Phys. Rev. Lett. 107, 020405 (2011)

We propose a method to prepare and verify spatial quantum superpositions of a nanometer-sized object separated by distances of the order of its size. This method provides unprecedented bounds for objective collapse models of the wave function by merging techniques and insights from cavity quantum optomechanics and matter-wave interferometry. An analysis and simulation of the experiment is performed taking into account standard sources of decoherence. We provide an operational parameter regime using present-day and planned technology.

Least-squares approximation by elements from matrix orbits achieved by gradient flows on compact lie groups

Date: 
2010-12-13
Author(s): 

Chi-Kwong Li, Yiu-Tung Poon, Thomas Schulte-Herbrüggen

Reference: 

Math. Comp. 80 (2011), 1601-1621

Let $ S(A)$ denote the orbit of a complex or real matrix $ A$ under a certain equivalence relation such as unitary similarity, unitary equivalence, unitary congruences etc.

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