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arXiv:1103.5512 · Physical Review A

Macroscopic quantum computation using Bose-Einstein condensates

Tim Byrnes, Kai Wen, Y. Yamamoto

Published Apr 25, 2012• 167 citations
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Abstract

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.

DOI
10.1103/physreva.85.040306

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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.
Quantum computation using qubits made of two component Bose-Einstein condensates (BECs) is analyzed. 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 per qubit. We illustrate the scheme by an application to Deutsch-s and Grover-s algorithms, and discuss possible experimental implementations. Decoherence effects are analyzed under both general conditions and for the experimental implementation proposed.
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.
Abstract Measurement-based quantum computation (MBQC) using two-component Bose–Einstein condensates (BECs) is proposed in this paper. An arbitrary state for one logical qubit is obtained by three-body measurement. Furthermore, a method is proposed for implementing controlled-Z gates for logical qubits in a graph state using BEC qubits and controlled-Z gates for BEC-type encoding. Results showed that the state after a measurement depends on the number of particles. These results pave the way for a novel quantum computing process based on particle control.
Bose-Einstein Condensates (BECs) represent a unique phase of matter, predicted by Einstein and Bose in 1924 and experimentally realized in 1995. When atoms are cooled near absolute zero, they coalesce into a single quantum state, exhibiting macroscopic quantum phenomena. This paper provides a high-school-level exploration of BEC formation, the distinction between bosons and fermions, and the emergence of superfluidity and superconductivity. We introduce the concept of matter-wave interference in BECs and highlight practical applications in quantum computing and precision measurement. Additionally, recent advancements such as dipolar condensates and quantum turbulence are discussed to showcase the evolving nature of BEC research.
Bose-Einstein Condensates (BECs) represent a unique phase of matter, predicted by Einstein and Bose in 1924 and experimentally realized in 1995. When atoms are cooled near absolute zero, they coalesce into a single quantum state, exhibiting macroscopic quantum phenomena. This paper provides a high-school-level exploration of BEC formation, the distinction between bosons and fermions, and the emergence of superfluidity and superconductivity. We introduce the concept of matter-wave interference in BECs and highlight practical applications in quantum computing and precision measurement. Additionally, recent advancements such as dipolar condensates and quantum turbulence are discussed to showcase the evolving nature of BEC research.