A Radix-4 Chrestenson Gate for Optical Quantum Computation

Smith, Kaitlin N.; LaFave, Tim; MacFarlane, Duncan L.; Thornton, Mitchell A.

doi:10.1109/ismvl.2018.00052

Cited by 3 publications

(1 citation statement)

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“…The radix-4 Chrestenson gate (C 4 ), allows a radix-4 qudit originally in a basis to evolve into a quantum state of equal superposition. More information about the radix-4 Chrestenson gate as well as a proposed physical implementation can be found in [9]. The following example shows how the radix-4 qudit |a 4 = |0 4 evolves to |b 4…”

Section: A the Chrestenson Gatementioning

confidence: 99%

Entanglement in Higher-Radix Quantum Systems

Smith

Thornton

2019

2019 IEEE 49th International Symposium on Multiple-Valued Logic (ISMVL)

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Entanglement is an important phenomenon that enables quantum information processing algorithms and quantum communications protocols. Although entangled quantum states are often described in radix-2, higher-radix qudits can become entangled as well. In this work, we both introduce partial entanglement, a concept that does not exist for radix-2 quantum systems, and differentiate between partial and maximal entanglement within non-binary quantum information processing systems. We also develop and present higher-radix maximal entanglement generator circuits that are analogous to the wellknown Bell state generator for binary quantum systems. Because higher-dimensioned qudits can be subjected to entangling processes that result in either partially or maximally entangled states, we demonstrate how higher-radix qudit circuits can be composed to generate these varying degrees of partial quantum entanglement. Theoretical results are provided for the general case where the radix is greater than two, and specific results based on a pair of radix-4 qudits are described.Index Terms-qudit, entanglement, partial entanglement, maximal entanglement, quantum information science, QIS, quantum information processing, QIP

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Section: A the Chrestenson Gatementioning

confidence: 99%