Quantum advantage using high-dimensional twisted photons as quantum
finite automata
- URL: http://arxiv.org/abs/2202.04915v2
- Date: Wed, 22 Jun 2022 19:17:44 GMT
- Title: Quantum advantage using high-dimensional twisted photons as quantum
finite automata
- Authors: Stephen Z. D. Plachta, Markus Hiekkam\"aki, Abuzer Yakary{\i}lmaz,
Robert Fickler
- Abstract summary: We show an experimental implementation of multi-qubit QFAs encoded on a single photon.
Using two to eight OAM quantum states to implement up to four parallel qubits, we show that a high-dimensional QFA is able to detect the prime numbers 5 and 11.
Our work benefits from the ease of encoding, manipulating, and deciphering multi-qubit states encoded in the OAM degree of freedom of single photons.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum finite automata (QFA) are basic computational devices that make
binary decisions using quantum operations. They are known to be exponentially
memory efficient compared to their classical counterparts. Here, we demonstrate
an experimental implementation of multi-qubit QFAs using the orbital angular
momentum (OAM) of single photons. We implement different high-dimensional QFAs
encoded on a single photon, where multiple qubits operate in parallel without
the need for complicated multi-partite operations. Using two to eight OAM
quantum states to implement up to four parallel qubits, we show that a
high-dimensional QFA is able to detect the prime numbers 5 and 11 while
outperforming classical finite automata in terms of the required memory. Our
work benefits from the ease of encoding, manipulating, and deciphering
multi-qubit states encoded in the OAM degree of freedom of single photons,
demonstrating the advantages structured photons provide for complex quantum
information tasks.
Related papers
- A quantum-network register assembled with optical tweezers in an optical cavity [0.0]
Quantum computation and quantum communication are expected to provide users with capabilities inaccessible by classical physics.
One solution is to develop a quantum network consisting of small-scale quantum registers containing computation qubits.
We report on a register that uses both optical tweezers and optical lattices to deterministically assemble a two-dimensional array of atoms in an optical cavity.
arXiv Detail & Related papers (2024-07-12T09:20:57Z) - Supervised binary classification of small-scale digits images with a trapped-ion quantum processor [56.089799129458875]
We show that a quantum processor can correctly solve the basic classification task considered.
With the increase of the capabilities quantum processors, they can become a useful tool for machine learning.
arXiv Detail & Related papers (2024-06-17T18:20:51Z) - Experimental realization of universal quantum gates and six-qubit state
using photonic quantum walk [2.331828779757202]
We report the experimental realize of universal set of quantum gates using photonic quantum walk.
We encode multiple qubits using polarization and paths degree of freedom for photon and demonstrate realization of universal set of gates with 100% success probability.
This work marks a significant progress towards using photonic quantum walk for quantum computing.
arXiv Detail & Related papers (2024-03-11T12:32:22Z) - Realization of quantum algorithms with qudits [0.7892577704654171]
We review several ideas indicating how multilevel quantum systems, also known as qudits, can be used for efficient realization of quantum algorithms.
We focus on techniques of leveraging qudits for simplifying decomposition of multiqubit gates, and for compressing quantum information by encoding multiple qubits in a single qudit.
These theoretical schemes can be implemented with quantum computing platforms of various nature, such as trapped ions, neutral atoms, superconducting junctions, and quantum light.
arXiv Detail & Related papers (2023-11-20T18:34:19Z) - Quantum Optical Memory for Entanglement Distribution [52.77024349608834]
Entanglement of quantum states over long distances can empower quantum computing, quantum communications, and quantum sensing.
Over the past two decades, quantum optical memories with high fidelity, high efficiencies, long storage times, and promising multiplexing capabilities have been developed.
arXiv Detail & Related papers (2023-04-19T03:18:51Z) - Simulation of Entanglement Generation between Absorptive Quantum
Memories [56.24769206561207]
We use the open-source Simulator of QUantum Network Communication (SeQUeNCe), developed by our team, to simulate entanglement generation between two atomic frequency comb (AFC) absorptive quantum memories.
We realize the representation of photonic quantum states within truncated Fock spaces in SeQUeNCe.
We observe varying fidelity with SPDC source mean photon number, and varying entanglement generation rate with both mean photon number and memory mode number.
arXiv Detail & Related papers (2022-12-17T05:51:17Z) - Refined quantum gates for $\Lambda$-type atom-photon hybrid systems [3.1273732288852716]
We present protocols for realizing controlled-not (CNOT), Fredkin, and Toffoli gates on hybrid systems.
The first control qubit of our gates is encoded on a flying photon, and the rest qubits are encoded on the atoms in optical cavity.
These quantum gates can be extended to the optimal synthesis of multi-qubit CNOT, Fredkin and Toffoli gates.
arXiv Detail & Related papers (2022-10-19T14:42:09Z) - Experimental Multi-state Quantum Discrimination in the Frequency Domain
with Quantum Dot Light [40.96261204117952]
In this work, we present the experimental realization of a protocol employing a time-multiplexing strategy to optimally discriminate among eight non-orthogonal states.
The experiment was built on a custom-designed bulk optics analyser setup and single photons generated by a nearly deterministic solid-state source.
Our work paves the way for more complex applications and delivers a novel approach towards high-dimensional quantum encoding and decoding operations.
arXiv Detail & Related papers (2022-09-17T12:59:09Z) - Interactive Protocols for Classically-Verifiable Quantum Advantage [46.093185827838035]
"Interactions" between a prover and a verifier can bridge the gap between verifiability and implementation.
We demonstrate the first implementation of an interactive quantum advantage protocol, using an ion trap quantum computer.
arXiv Detail & Related papers (2021-12-09T19:00:00Z) - Efficient realization of quantum algorithms with qudits [0.70224924046445]
We propose a technique for an efficient implementation of quantum algorithms with multilevel quantum systems (qudits)
Our method uses a transpilation of a circuit in the standard qubit form, which depends on the parameters of a qudit-based processor.
We provide an explicit scheme of transpiling qubit circuits into sequences of single-qudit and two-qudit gates taken from a particular universal set.
arXiv Detail & Related papers (2021-11-08T11:09:37Z) - Depth-efficient proofs of quantumness [77.34726150561087]
A proof of quantumness is a type of challenge-response protocol in which a classical verifier can efficiently certify quantum advantage of an untrusted prover.
In this paper, we give two proof of quantumness constructions in which the prover need only perform constant-depth quantum circuits.
arXiv Detail & Related papers (2021-07-05T17:45:41Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.