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UID:dac_DAC 2024_sess113_RESEARCH313@linklings.com
SUMMARY:Mixed-Dimensional Qudit State Preparation Using Edge-Weighted Deci
 sion Diagrams
DESCRIPTION:Research Manuscript\n\nKevin Mato (Technische Universität Münc
 hen), Stefan Hillmich (Software Center Hagenberg (SCCH) GmbH), and Robert 
 Wille (Technical University Munich)\n\nQuantum computers have the potentia
 l to solve important problems which are fundamentally intractable on a cla
 ssical computer.\nThe underlying physics of quantum computing platforms su
 pports using multi-valued logic, which promises a boost in performance ove
 r the prevailing two-level logic.\nOne key element to exploiting this pote
 ntial is the capability to efficiently prepare quantum states for multi-va
 lued, or qudit, systems.\nDue to the time sensitivity of quantum computers
 , the circuits to prepare the required states have to be as short as possi
 ble.\nIn this paper, we investigate quantum state preparation with a focus
  on mixed-dimensional systems, where the individual qudits may have differ
 ent dimensionalities.\nThe proposed approach automatically realizes quantu
 m circuits constructing a corresponding mixed-dimensional quantum state. T
 o this end, decision diagrams are used as a compact representation of the 
 quantum state to be realized.\nWe further incorporate the ability to appro
 ximate the quantum state to enable a finely controlled trade-off between a
 ccuracy, memory complexity, and number of operations in the circuit.\nEmpi
 rical evaluations demonstrate the effectiveness of the proposed approach i
 n facilitating fast and scalable quantum state preparation, with performan
 ce directly linked to the size of the decision diagram.\nThe implementatio
 n is freely available under the MIT license at redacted for double-blind s
 ubmission.\n\nTopic: Design\n\nKeyword: Quantum Computing\n\nSession Chair
 s: Fan Chen (Indiana University, Bloomington) and Samah Saeed (City Univer
 sity of New York, City College)
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