Award Abstract # 1816869
AF: Small: Quantum Computational Pseudorandomness with Applications

NSF Org: CCF
Division of Computing and Communication Foundations
Recipient: PORTLAND STATE UNIVERSITY
Initial Amendment Date: May 24, 2018
Latest Amendment Date: May 24, 2018
Award Number: 1816869
Award Instrument: Standard Grant
Program Manager: Dmitri Maslov
CCF
 Division of Computing and Communication Foundations
CSE
 Directorate for Computer and Information Science and Engineering
Start Date: October 1, 2018
End Date: March 31, 2019 (Estimated)
Total Intended Award Amount: $268,826.00
Total Awarded Amount to Date: $268,826.00
Funds Obligated to Date: FY 2018 = $0.00
History of Investigator:
  • Fang Song (Principal Investigator)
Recipient Sponsored Research Office: Portland State University
1600 SW 4TH AVE
PORTLAND
OR  US  97201-5508
(503)725-9900
Sponsor Congressional District: 01
Primary Place of Performance: Portland State University
1600 SW 4th Ave
Portland
OR  US  97207-0751
Primary Place of Performance
Congressional District:
01
Unique Entity Identifier (UEI): H4CAHK2RD945
Parent UEI: WWUJS84WJ647
NSF Program(s): Quantum Computing
Primary Program Source: 01001819DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 7923, 7928
Program Element Code(s): 792800
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.070

ABSTRACT

Pseudo-randomness, an efficient approximation for true randomness, has become indispensable in algorithm design, coding theory, cryptography and complexity theory. This project aims to develop a comprehensive theory of computational pseudo-randomness in the setting of quantum information processing. These pseudo-random objects and tools can be useful in quantum algorithm design and quantum complexity theory. The computational approach of this project to some problems outside the conventional territory of computing could stimulate further collaboration between computer scientists, quantum information theorists and physicists. Course development, assisting the development of local ``Women in CS'' chapter and ``Women in Tech'' events, establishing interest groups in quantum computing at the university to attract underrepresented students, as well as outreach to high school students are an integral part of this award.

This specific focus is on computational pseudorandomness, which is indistinguishable from true randomness as far as efficient observers are concerned. There are three major objectives: 1) formalize and design pseudorandom quantum states and quantum operators, in analogy to two basic classical pseudorandom objects -- pseudorandom generators and pseudorandom functions; 2) investigate their applications in computer science, especially in quantum cryptography such as constructing quantum money, quantum authentication, and a novel primitive of tokenized cryptography. This requires developing appropriate quantum security models and designing new schemes; 3) develop other quantum pseudorandom objects and explore applications beyond computer science such as understanding black holes and thermalization in physics. The proposed pseudorandom objects and techniques to be developed can provide more efficient solutions to some proposed applications or even overcome some no-go results in the information-theoretical setting. This study complements the work on quantum state and unitary designs, which are statistical approximations to the quantum Haar randomness. Together, they can reveal more insights to the fundamental properties of quantum information. The computational lens of studying problems beyond computer science can be fruitful elsewhere.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

Please report errors in award information by writing to: awardsearch@nsf.gov.

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