Controlled gates for multi-level quantum computation

Mohammadi, Meisam; Niknafs, Aliakbar; Eshghi, Mohammad

doi:10.1007/s11128-010-0192-z

Cited by 30 publications

(6 citation statements)

References 10 publications

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“…As can be seen in Table 3, when the input is 1, and the transform is Z (+ 2), the result is 0. It is worth mentioning that each of the 1-qutrit permutation gates has a unitary inverse gate which is utilized in order to restore the inputs [45,46]. Inverse gates for each 1-qutrit permutation gate are illustrated in Table 4.…”

Section: Ternary Permutation Gatesmentioning

confidence: 99%

Novel qutrit circuit design for multiplexer, De-multiplexer, and decoder

Monfared

Ciriani

Kettunen

et al. 2022

Quantum Inf Process

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Designing conventional circuits present many challenges, including minimizing internal power dissipation. An approach to overcoming this problem is utilizing quantum technology, which has attracted significant attention as an alternative to Nanoscale CMOS technology. The reduction of energy dissipation makes quantum circuits an up-and-coming emerging technology. Ternary logic can potentially diminish the quantum circuit width, which is currently a limitation in quantum technologies. Using qutrit instead of qubit could play an essential role in the future of quantum computing. First, we propose two approaches for quantum ternary decoder circuit in this context. Then, we propose a quantum ternary multiplexer and quantum ternary demultiplexer to exploit the constructed quantum ternary decoder circuit. Techniques to achieve lower quantum cost are of importance. We considered two types of circuits, one in which the output states are always restored to the initial input states and the other in which the states of the output are irrelevant. We compare the proposed quantum ternary circuits with their existing counterparts and present the improvements. It is possible to realize the proposed designs using macro-level ternary gates that are based on the ion-trap realizable ternary 2-qutrit Muthukrishnan–Stroud and 1-qutrit permutation gates.

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Section: Ternary Permutation Gatesmentioning

confidence: 99%

Novel qutrit circuit design for multiplexer, De-multiplexer, and decoder

Monfared

Ciriani

Kettunen

et al. 2022

Quantum Inf Process

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“…Logic gates can transform the input signals to specific output signals by Boolean logic operations, serving as the basic components in integrated circuits to perform information processing and storage. [5] Since the de Silva group first reported a seminal "AND" molecular logic gate (MLG), [6] MLGs received extensive attention and were widely applied in the area of ion detection, [7] biomedical applications, [8] biosensors, [9] etc. [10] Stimuli-responsive functional molecules are the core of MLGs responsible for receiving and processing the input signals, including biochemical stimuli (e.g., acids, bases, ions, enzymes, and viruses) or physical modalities (e.g., light and heat), and then output computational results (e.g., changes in UV absorption, fluorescence emission, and electrochemical properties).…”

Section: Introductionmentioning

confidence: 99%

Molecular Motor‐Driven Light‐Controlled Logic‐Gated K⁺ Channel for Cancer Cell Apoptosis

Li,

Wu,

Zhu

et al. 2024

Advanced Materials

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Developing artificial ion transport systems, which process complicated information and step‐wise regulate properties, is essential for deeply comprehending the subtle dynamic behaviors of natural channel proteins (NCPs). Here we report a photo‐controlled logic‐gated K+ channel based on single‐chain random heteropolymers (RHPs) containing molecular motors, exhibiting multi‐core processor‐like properties to step‐wise control ion transport. Designed with oxygen, deoxygenation, and different wavelengths of light as input signals, complicated logical circuits comprising “YES”, “AND”, “OR” and “NOT” gate components are established. Implementing these logical circuits with K+ transport efficiencies as output signals, we realize multiple state transitions including “ON”, “Partially OFF” and “Totally OFF” in liposomes and cancer cells, further causing step‐wise anticancer treatments. Dramatic K+ efflux in “ON” state (decrease by 50% within 7 minutes) significantly induces cancer cell apoptosis. We expect this integrated logic‐gated strategy will be expanded toward understanding the delicate mechanism underlying NCPs and treating cancer or other diseases.This article is protected by copyright. All rights reserved

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“…Trapped ions, superconducting transmons, and many other quantum technologies typically feature many possible physical states, and must be artificially restricted to the two states used as a qubit. A natural question is whether we are optimizing the resources extracted from our quantum building blocks by choosing to use only two of these levels [1][2][3][4][5][6][7][8]. Experimentalists have developed sufficient control to envision that a quantum processor could benefit from using more of the physical states afforded by the quantum system.…”

Section: Introductionmentioning

confidence: 99%

Practical trapped-ion protocols for universal qudit-based quantum computing

Low

White

Cox

et al. 2020

Phys. Rev. Research

107

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The notion of universal quantum computation can be generalized to multilevel qudits, which offer advantages in resource usage and algorithmic efficiencies. Trapped ions, which are pristine and well-controlled quantum systems, offer an ideal platform to develop qudit-based quantum information processing. Previous work has not fully explored the practicality of implementing trapped-ion qudits accounting for known experimental error sources. Here, we describe a universal set of protocols for state preparation, single-qudit gates, a generalization of the Mølmer-Sørensen gate for two-qudit gates, and a measurement scheme which utilizes shelving to a metastable state. We numerically simulate known sources of error from previous trapped-ion experiments, and show that there are no fundamental limitations to achieving fidelities above 99% for three-level qudits encoded in 137 Ba + ions. Our methods are extensible to higher-dimensional qudits, and our measurement and single-qudit gate protocols can achieve 99% fidelities for five-level qudits. We identify avenues to further decrease errors in future work. Our results suggest that three-level trapped-ion qudits will be a useful technology for quantum information processing.

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Controlled gates for multi-level quantum computation

Cited by 30 publications

References 10 publications

Novel qutrit circuit design for multiplexer, De-multiplexer, and decoder

Novel qutrit circuit design for multiplexer, De-multiplexer, and decoder

Molecular Motor‐Driven Light‐Controlled Logic‐Gated K⁺ Channel for Cancer Cell Apoptosis

Practical trapped-ion protocols for universal qudit-based quantum computing

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Controlled gates for multi-level quantum computation

Cited by 30 publications

References 10 publications

Novel qutrit circuit design for multiplexer, De-multiplexer, and decoder

Novel qutrit circuit design for multiplexer, De-multiplexer, and decoder

Molecular Motor‐Driven Light‐Controlled Logic‐Gated K+ Channel for Cancer Cell Apoptosis

Practical trapped-ion protocols for universal qudit-based quantum computing

Contact Info

Product

Resources

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Molecular Motor‐Driven Light‐Controlled Logic‐Gated K⁺ Channel for Cancer Cell Apoptosis