Quantum Computations with Cold Trapped Ions

El miércoles 6 de Noviembre discutiremos sobre algo más interesante que los resultados electorales estadounidenses, sobre como realizar computación cuántica con átomos fríos. Victoria Dordyay, estudiante del máster Fysymat, nos hablará del clásico paper de Ignacio Cirac y Peter Zoller donde se explica cómo realizar puertas cuánticas y lógicas en iones atrapados.

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Peres-Horodecki criterion for the separability problem

On October 30, the FisyMat Master Student Antonio Gjayá, will present two classical papers. Entanglement is one of the most intriguing and interesting features of quantum mechanics. Unfortunately, determining if a state is entangled or separable is not an easy task. In this section, we will talk about one of the first entanglement separability criteria, called PPT.

Quantum Szilard Engine

On Wednesday October 23 (10 am), Miryam Suárez (Fisymat Master Student) will present the following paper:

As you know, quantum engines are an important field of study nowadays, and the problem of how to transform information into work is also very interesting. In this paper we will talk about both of these topics.

Place: Laboratorio de Física Computacional.

Date: October 23, 2024.

Time: 10am.

Link to the paper.

Work is not a (quantum) observable

On Wednesday 16th, at 10am, Álvaro Tejero (PhD applicant of the group) will present the following paper:

Fluctuations theorems, as well as the definition of work in Quantum Systems, are an interesting and timing topic of research. Together with the results of this paper, Álvaro will give us an introduction to this problem.

Main references:

    P. Talkner, Eric Lutz, P. Hänggi, Phys. Rev. E 75, 050102(R) (2007).
    P. Talkner, P. Hänggi, J. Phys. A: Math. Theor. 40, F569–F571 (2007).
    P. Talkner, P. Hänggi, M. Morillo, Phys. Rev. E 77, 051131 (2008).

Auxiliary References:

    C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997).
    C. Jarzynski, Phys. Rev. E 56, 5018 (1997).
    C. Jarzynski, C. R. Physique 8 (2007).
    W. Ribeiro, G. Landi, F. Semião, Am. J. Phys. 84, 948–957 (2016).

Quantum certification and benchmarking

The first session of the 2024-2025 course will be delivered on Wednesday, October 8th, by Giulio Camillo, postdoctoral researcher. In this session, we will also talk about the organisation of the club.

Here at the details of the paper we will discuss:

Title: Quantum certification and benchmarking

Abstract: Concomitant with the rapid development of quantum technologies, challenging demands arise concerning the certification and characterization of devices. The promises of the field can only be achieved if stringent levels of precision of components can be reached and their functioning guaranteed. This review provides a brief overview of the known characterization methods of certification, benchmarking, and tomographic recovery of quantum states and processes, as well as their applications in quantum computing, simulation, and communication.

Link: https://arxiv.org/pdf/1910.06343

In addition, we will see how we can play the videogame DOOM in a quantum computer. Here you have a small apettizer:

Entanglement purification for quantum communication

On Tuesday, May 21st, Giulio Camillo will introduce us into the marvellous world of entanglement purification by reviewing a classical paper by Anton Zeilinger.

Abstract: The distribution of entangled states between distant locations will be essential for the future large-scale realization of quantum communication schemes such as quantum cryptography1 and quantum teleportation. Because of unavoidable noise in the quantum communication channel, the entanglement between two particles is more and more degraded the further they propagate. Entanglement purification is thus essential to distil highly entangled states from less entangled ones. Existing general purification protocols are based on the quantum controlled-NOT (CNOT) or similar quantum logic operations, which are very difficult to implement experimentally. Present realizations of CNOT gates are much too imperfect to be useful for long distance quantum communication. Here we present a scheme for the entanglement purification of general mixed entangled states, which achieves 50 per cent of the success probability of schemes based on the CNOT operation, but requires only simple linear optical elements. Because the perfection of such elements is very high, the local operations necessary for purification can be performed with the required precision. Our procedure is within the reach of current technology, and should significantly simplify the implementation of long-distance quantum communication.

Date and time: May 21st 2024. 10 am.

Link: meet.google.com/pfu-awyh-hmz

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Quantum violation of the pigeonhole principle and the nature of quantum correlations

Next session will be hosted by Victoria Dordyay and Miryam Suárez, and it will treat about pigeon, counterintuitive effects, and correlations.

Abstract: The pigeonhole principle:“If you put three pigeons in two pigeon-holes, at least two of the pigeons end up in the same hole,”is anobvious yet fundamental principle of nature as it captures the veryessence of counting. Here however we show that in quantum me-chanics this is not true! We find instances when three quantumparticles are put in two boxes, yet no two particles are in the samebox. Furthermore, we show that the above“quantum pigeonholeprinciple”is only one of a host of related quantum effects, andpoints to a very interesting structure of quantum mechanics thatwas hitherto unnoticed. Our results shed new light on the verynotions of separability and correlations in quantum mechanicsand on the nature of interactions. It also presents a new role forentanglement, complementary to the usual one. Finally, interfero-metric experiments that illustrate our effects are proposed.

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Paper: https://www.pnas.org/doi/full/10.1073/pnas.1522411112

Date and time: April 23th 2024. 10 am.

Link: meet.google.com/pfu-awyh-hmz

Probing topological spin liquids on a programmable quantum simulator, by Adrián Marín

On Tuesday 16th of April 2024, Adrián Marín will talk about an interesting paper about quantum simulations with Rydberg Atoms.

Abstract: Quantum spin liquids, exotic phases of matter with topological order, have been a major focus in physicsfor the past several decades. Such phases feature long-range quantum entanglement that canpotentially be exploited to realize robust quantum computation. We used a 219-atom programmablequantum simulator to probe quantum spin liquid states. In our approach, arrays of atoms were placed onthe links of a kagome lattice, and evolution under Rydberg blockade created frustrated quantum stateswith no local order. The onset of a quantum spin liquid phase of the paradigmatic toric code typewas detected by using topological string operators that provide direct signatures of topological orderand quantum correlations. Our observations enable the controlled experimental exploration oftopological matter and protected quantum information processing.

Date and time: April 16th 2024. 10 am.

Link: meet.google.com/pfu-awyh-hmz

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