Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Conference on Micro- and Nano-Electronics (ICMNE)

Quantum information processing with macroscopic two-component Bose-Einstein condensates

Alexey N. Pyrkov, Tim Byrnes

Published Mar 15, 2019• 2 citations
Publisher

Abstract

Two component Bose-Einstein condensates (BECs) have been recently shown to be viable systems for storing and manipulating quantum information. Unlike standard single-particle qubits, the quantum information is duplicated in a large number of identical bosonic particles, thus can be considered to be a macroscopic qubit. The duplication of the quantum information makes them potentially more robust than conventional qubits, where all the quantum information is lost with a single error. It has been shown theoretically and experimentally that such ensembles can be used in many ways the same way as a standard qubit: they can be visualized on the Bloch sphere, and can be manipulated analogously to standard qubits. On the other hand, the BEC qubits do not have genuine interaction between each other and one of the main difficulties with such a system is how to effectively interact them together in order to transfer quantum information and create entanglement. Furthermore, the larger Hilbert space of the macroscopic bosonic system does not allow for unique mapping of standard quantum algorithms. However, in a few past years the main building blocks of quantum information processing and several quantum algorithms were translated to the BEC qubits. In this paper we give a brief colloquium of the current achievements and outline new perspectives of the use of BEC qubits and spin-coherent ensembles for quantum technologies.

DOI
10.1117/12.2522432

Related papers

Quantum information transfer between two-component Bose-Einstein condensates connected by optical fiber

Alexey N. Pyrkov, Tim Byrnes

Two component Bose-Einstein condensates (BECs) have been recently shown to be viable systems for storing and manipulating quantum information. Unlike standard single-system qubits, the quantum information is duplicated in a large number of identical bosonic particles, thus can be considered to be a “macroscopic” qubit. One of the difficulties with such a system is how to effectively interact such qubits together in order to transfer quantum information and create entanglement. Here we discuss quantum state transfer using cavities containing two-component BECs coupled by optic fiber with a goal to apply this technique for quantum networking with BECs.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jan 3, 2013•13 citations

Entanglement generation in quantum networks of Bose–Einstein condensates

Alexey N. Pyrkov, Tim Byrnes

Two component (spinor) Bose–Einstein condensates (BECs) are considered as the nodes of an interconnected quantum network. Unlike standard single-system qubits, in a BEC the quantum information is duplicated in a large number of identical bosonic particles, thus can be considered to be a 'macroscopic' qubit. One of the difficulties with such a system is how to effectively interact such qubits together in order to transfer quantum information and create entanglement. Here we propose a scheme of cavities containing spinor BECs coupled by optical fiber in order to achieve this task. We discuss entanglement generation and quantum state transfer between nodes using such macroscopic BEC qubits.

arXiv:1308.0453•New Journal of Physics•Sep 13, 2013•59 citations

Macroscopic quantum computation using Bose-Einstein condensates

Tim Byrnes, Kai Wen, Y. Yamamoto

We analyze quantum computation using quantum information stored on two component Bose-Einstein condensates (BECs). We construct a general framework for quantum algorithms to be executed using the collective states of the BECs. The use of BECs allows for an increase of energy scales via bosonic enhancement, resulting in two-qubit gate operations that can be performed at a time reduced by a factor of $N$, where $N$ is the number of bosons in the BEC. We illustrate the scheme by an application to Grover's algorithm, and discuss possible experimental implementations and decoherence effects.

arXiv:1103.5512•Physical Review A•Apr 25, 2012•167 citations

Hybrid of superconducting quantum interference device and atomic Bose-Einstein condensate: An architecture for quantum information processing

Kelly R. Patton, Uwe R. Fischer

A hybrid quantum system is proposed by coupling the internal hyperfine transitions of a trapped atomic Bose-Einstein condensate (BEC) and a superconducting quantum interference device (SQUID) via the macroscopic quantum field of the flux qubit. The presence of the condensate leads to a bosonic enhancement of the Rabi frequency over the otherwise small single-particle magnetic-dipole transition matrix elements. This enhancement makes it possible to rapidly transfer and store qubit states in the BEC that were originally prepared in the SQUID. The fidelity of this transfer for different states is calculated, and a direct experimental protocol to determine the transfer fidelity by quantum tomography of the BEC qubit is presented.

arXiv:1201.5060•Physical Review A•May 3, 2013•36 citations

Quantum information with atomic ensembles

P. Zoller

We summarize our recent work on quantum information with atomic ensembles. In particular, we describe techniques for storing and manipulating quantum information in collective states of mesoscopic ensembles. Quantum information processing is is accomplished by optical excitation into states with strong dipole-dipole interactions. The resulting “dipole blockade” can be used to inhibit transitions into all but singly excited collective states. This can be employed for a controlled generation of collective atomic spin states as well as non-classical photonic states and for scalable quantum logic gates. Furthermore, we present schemes for entangling a very large number of atoms of a spinor 1 Bose Einstein condensate based on collisional interaction between atoms. As a final example, we discuss the possiblilty of creating entangled atomic states of a few bosonic atoms in a setup which mimics a “fractional quantum Hall effect” and allows the manipulation of anyonic excitations.

Optical Fiber Communication Conference•Jan 1, 2001•0 citations

Fractality and macroscopic entanglement in two-component Bose-Einstein condensates

Tim Byrnes

Spin coherent states are the matter equivalent of optical coherent states, where a large number of two component particles form a macroscopic state displaying quantum coherence. Here we give a detailed study of entanglement generated between two spin-$1/2$ Bose-Einstein condensates (BECs) due to an ${S}_{1}^{z}{S}_{2}^{z}$ interaction. The states that are generated show a remarkably rich structure showing fractal characteristics. In the limit of large particle number $N$, the entanglement shows a strong dependence upon whether the entangling gate times are a rational or irrational multiple of $\ensuremath{\pi}/4$, with a fractal dimension of $d\ensuremath{\approx}1.7$. We discuss the robustness of various states under decoherence and show that despite the large number of particles in a typical BEC, entanglement on a macroscopic scale should be observable as long as the gate times are less than $\ensuremath{\hbar}/J\sqrt{N}$, where $J$ is the effective BEC-BEC coupling energy. Such states are anticipated to be useful for various quantum information applications such as quantum teleportation and quantum algorithms.

arXiv:1305.5095•Physical Review A•Aug 13, 2013•56 citations
Two component Bose-Einstein condensates (BECs) have been recently shown to be viable systems for storing and manipulating quantum information. Unlike standard single-particle qubits, the quantum information is duplicated in a large number of identical bosonic particles, thus can be considered to be a macroscopic qubit. The duplication of the quantum information makes them potentially more robust than conventional qubits, where all the quantum information is lost with a single error. It has been shown theoretically and experimentally that such ensembles can be used in many ways the same way as a standard qubit: they can be visualized on the Bloch sphere, and can be manipulated analogously to standard qubits. On the other hand, the BEC qubits do not have genuine interaction between each other and one of the main difficulties with such a system is how to effectively interact them together in order to transfer quantum information and create entanglement. Furthermore, the larger Hilbert space of the macroscopic bosonic system does not allow for unique mapping of standard quantum algorithms. However, in a few past years the main building blocks of quantum information processing and several quantum algorithms were translated to the BEC qubits. In this paper we give a brief colloquium of the current achievements and outline new perspectives of the use of BEC qubits and spin-coherent ensembles for quantum technologies.
Two component Bose-Einstein condensates (BECs) have been recently shown to be viable systems for storing and manipulating quantum information. Unlike standard single-system qubits, the quantum information is duplicated in a large number of identical bosonic particles, thus can be considered to be a “macroscopic” qubit. One of the difficulties with such a system is how to effectively interact such qubits together in order to transfer quantum information and create entanglement. Here we discuss quantum state transfer using cavities containing two-component BECs coupled by optic fiber with a goal to apply this technique for quantum networking with BECs.
Two component (spinor) Bose–Einstein condensates (BECs) are considered as the nodes of an interconnected quantum network. Unlike standard single-system qubits, in a BEC the quantum information is duplicated in a large number of identical bosonic particles, thus can be considered to be a 'macroscopic' qubit. One of the difficulties with such a system is how to effectively interact such qubits together in order to transfer quantum information and create entanglement. Here we propose a scheme of cavities containing spinor BECs coupled by optical fiber in order to achieve this task. We discuss entanglement generation and quantum state transfer between nodes using such macroscopic BEC qubits.
We analyze quantum computation using quantum information stored on two component Bose-Einstein condensates (BECs). We construct a general framework for quantum algorithms to be executed using the collective states of the BECs. The use of BECs allows for an increase of energy scales via bosonic enhancement, resulting in two-qubit gate operations that can be performed at a time reduced by a factor of NNN, where NNN is the number of bosons in the BEC. We illustrate the scheme by an application to Grover's algorithm, and discuss possible experimental implementations and decoherence effects.
A hybrid quantum system is proposed by coupling the internal hyperfine transitions of a trapped atomic Bose-Einstein condensate (BEC) and a superconducting quantum interference device (SQUID) via the macroscopic quantum field of the flux qubit. The presence of the condensate leads to a bosonic enhancement of the Rabi frequency over the otherwise small single-particle magnetic-dipole transition matrix elements. This enhancement makes it possible to rapidly transfer and store qubit states in the BEC that were originally prepared in the SQUID. The fidelity of this transfer for different states is calculated, and a direct experimental protocol to determine the transfer fidelity by quantum tomography of the BEC qubit is presented.
We summarize our recent work on quantum information with atomic ensembles. In particular, we describe techniques for storing and manipulating quantum information in collective states of mesoscopic ensembles. Quantum information processing is is accomplished by optical excitation into states with strong dipole-dipole interactions. The resulting “dipole blockade” can be used to inhibit transitions into all but singly excited collective states. This can be employed for a controlled generation of collective atomic spin states as well as non-classical photonic states and for scalable quantum logic gates. Furthermore, we present schemes for entangling a very large number of atoms of a spinor 1 Bose Einstein condensate based on collisional interaction between atoms. As a final example, we discuss the possiblilty of creating entangled atomic states of a few bosonic atoms in a setup which mimics a “fractional quantum Hall effect” and allows the manipulation of anyonic excitations.
Spin coherent states are the matter equivalent of optical coherent states, where a large number of two component particles form a macroscopic state displaying quantum coherence. Here we give a detailed study of entanglement generated between two spin-1/21/21/2 Bose-Einstein condensates (BECs) due to an S1zS2z{S}_{1}^{z}{S}_{2}^{z}S1z​S2z​ interaction. The states that are generated show a remarkably rich structure showing fractal characteristics. In the limit of large particle number NNN, the entanglement shows a strong dependence upon whether the entangling gate times are a rational or irrational multiple of $\ensuremath{\pi}/4$, with a fractal dimension of $d\ensuremath{\approx}1.7$. We discuss the robustness of various states under decoherence and show that despite the large number of particles in a typical BEC, entanglement on a macroscopic scale should be observable as long as the gate times are less than $\ensuremath{\hbar}/J\sqrt{N}$, where JJJ is the effective BEC-BEC coupling energy. Such states are anticipated to be useful for various quantum information applications such as quantum teleportation and quantum algorithms.