Time-Efficient Qudit Gates through Incremental Pulse Re-seeding

Seifert, Lennart Maximilian; Chadwick, Jason; Litteken, Andrew; Chong, Frederic T.; Baker, Jonathan M.

doi:10.1109/qce53715.2022.00051

Cited by 5 publications

(3 citation statements)

References 18 publications

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“…As real quantum systems are limited by noise effects such as decoherence, this allows us to investigate the expected cost of using these gates in quantum circuits. Juqbox only allows pulse optimization for a fixed time interval [0,𝑇 ], therefore we minimize pulse durations 𝑇 by applying the technique from [39], which involves iterative re-optimization with previous pulse results. This method aims to find the shortest-duration pulse that can execute the desired gate above a minimum fidelity target.…”

Section: Optimizing Pulsesmentioning

confidence: 99%

Qompress: Efficient Compilation for Ququarts Exploiting Partial and Mixed Radix Operations for Communication Reduction

Litteken

Seifert

Chadwick

et al. 2023

Proceedings of the 28th ACM International Conference on Architectural Support for Programming Languages and Operating Systems,

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Quantum computing is in an era of limited resources. Current hardware lacks high fidelity gates, long coherence times, and the number of computational units required to perform meaningful computation. Contemporary quantum devices typically use a binary system, where each qubit exists in a superposition of the |0⟩ and |1⟩ states. However, it is often possible to access the |2⟩ or even |3⟩ states in the same physical unit by manipulating the system in different ways. In this work, we consider automatically encoding two qubits into one four-state ququart via a compression scheme. We use quantum optimal control to design efficient proof-of-concept gates that fully replicate standard qubit computation on these encoded qubits.We extend qubit compilation schemes to efficiently route qubits on an arbitrary mixed-radix system consisting of both qubits and ququarts, reducing communication and minimizing excess circuit execution time introduced by longer-duration ququart gates. In conjunction with these compilation strategies, we introduce several methods to find beneficial compressions, reducing circuit error due to computation and communication by up to 50%. These methods can increase the computational space available on a limited nearterm machine by up to 2x while maintaining circuit fidelity.

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Section: Optimizing Pulsesmentioning

confidence: 99%

Qompress: Efficient Compilation for Ququarts Exploiting Partial and Mixed Radix Operations for Communication Reduction

Litteken

Seifert

Chadwick

et al. 2023

Proceedings of the 28th ACM International Conference on Architectural Support for Programming Languages and Operating Systems,

View full text Add to dashboard Cite

show abstract

“…The PET framework also includes a quantum complementarity dyad that describes the relationships between the elemental modules as entangled. Thus, the PET framework may be alternatively described as an 8-state qudit or a triple-qubit system (Seifert et al, 2022). Both the classical PET framework that describes cognition based on psychological science within the context of the Metric tensor and its quantum dyad version are complementary in the tradition of Niel's Bohr.…”

Section: Figure 27mentioning

confidence: 99%

Psychoeducation Tensor Framework as a Cognitive Architecture for the Research Domain Criteria (RDoC) Framework

Sheppard¹

2023

Preprint

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The psychoeducation tensor (PET) framework integrates a thorough array of cognitive theoretical models into a single minimalist 4x4 matrix essential symmetry of cognition that internally mirrors the Metric tensor. The PET framework was developed as a core organizational cognitive architecture for the National Institute of Mental Health’s (NIMH) Research Domain Criteria (RDoC) nosology framework. Therefore, PET framework was designed to help reduce psychological distress and mental perplexity via psychoeducation. This article describes clinical conditions associated with the DSM-5 TR with the use of non-deficit language to minimize stigmatizing language. A companion poster is also available: "Psychoeducation Tensor as Cognitive Architecture for RDoC"

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“…These guard states are not logical states, therefore populating them is penalized with a leakage term 𝐿[𝑓 𝑘 ]. Currently, Juqbox only allows pulse optimization for a fixed gate time 𝑇 , therefore we minimize pulse durations by applying an iterative re-optimization technique [51].…”

Section: Quantum Optimal Controlmentioning

confidence: 99%

Dancing the Quantum Waltz: Compiling Three-Qubit Gates on Four Level Architectures

Litteken

Seifert

Chadwick

et al. 2023

Proceedings of the 50th Annual International Symposium on Computer Architecture

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Superconducting quantum devices are a leading technology for quantum computation, but they suffer from several challenges. Gate errors, coherence errors and a lack of connectivity all contribute to low fidelity results. In particular, connectivity restrictions enforce a gate set that requires three-qubit gates to be decomposed into one-or two-qubit gates. This substantially increases the number of two-qubit gates that need to be executed. However, many quantum devices have access to higher energy levels. We can expand the qubit abstraction of |0⟩ and |1⟩ to a ququart which has access to the |2⟩ and |3⟩ state, but with shorter coherence times. This allows for two qubits to be encoded in one ququart, enabling increased virtual connectivity between physical units from two adjacent qubits to four fully connected qubits. This connectivity scheme allows us to more efficiently execute three-qubit gates natively between two physical devices.We present direct-to-pulse implementations of several threequbit gates, synthesized via optimal control, for compilation of three-qubit gates onto a superconducting-based architecture with access to four-level devices with the first experimental demonstration of four-level ququart gates designed through optimal control. We demonstrate strategies that temporarily use higher level states to perform Toffoli gates and always use higher level states to improve fidelities for quantum circuits. We find that these methods improve expected fidelities with increases of 2x across circuit sizes using intermediate encoding, and increases of 3x for fully-encoded ququart compilation.

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Time-Efficient Qudit Gates through Incremental Pulse Re-seeding

Cited by 5 publications

References 18 publications

Qompress: Efficient Compilation for Ququarts Exploiting Partial and Mixed Radix Operations for Communication Reduction

Qompress: Efficient Compilation for Ququarts Exploiting Partial and Mixed Radix Operations for Communication Reduction

Psychoeducation Tensor Framework as a Cognitive Architecture for the Research Domain Criteria (RDoC) Framework

Dancing the Quantum Waltz: Compiling Three-Qubit Gates on Four Level Architectures

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