# Iman Marvian

## Electrical and Computer Engineering

Assistant Professor in the Department of Electrical and Computer Engineering

### Research Themes

Quantum Computing

### Research Interests

Quantum information and computation theory

### Bio

Iman Marvian received his Ph.D. in Physics in 2012 at the University of Waterloo and Perimeter Institute for Theoretical Physics in Waterloo, Canada. Before moving to Duke, he worked as a postdoctoral researcher at the University of Southern California and MIT.

Marvian's main research interest is quantum information and computation theory. He has worked on a wide range of topics in this field, including quantum algorithms, quantum circuits, symmetry-protected topological order, quantum error suppression, open quantum systems, quantum resource theories, and quantum thermodynamics.

### Education

- Ph.D. University of Waterloo (Canada), 2012

### Positions

- Assistant Professor in the Department of Electrical and Computer Engineering
- Assistant Professor in the Department of Physics
- Member of the Duke Quantum Center

### Awards, Honors, and Distinctions

- National Science Foundation CAREER Award. National Science Foundation (NSF). 2021

### Courses Taught

- PHYSICS 627: Quantum Information Science
- PHYSICS 623: Quantum Information Theory
- PHYSICS 380: Introduction to Quantum Information Science
- MATH 363: Introduction to Quantum Information Science
- ECE 623: Quantum Information Theory
- ECE 523: Quantum Information Science
- ECE 110L: Fundamentals of Electrical and Computer Engineering
- ECE 110L9: Fundamentals of Electrical and Computer Engineering - Lab

### Publications

- Yadavalli SA, Marvian I. Optimal Distillation of Coherent States with Phase-Insensitive Operations. 2024.
- Hulse A, Liu H, Marvian I. Unitary Designs from Random Symmetric Quantum Circuits. 2024.
- Zhukas LA, Wang Q, Katz O, Monroe C, Marvian I. Observation of the Symmetry-Protected Signature of 3-body Interactions. 2024.
- Hulse A, Liu H, Marvian I. A framework for semi-universality: Semi-universality of 3-qudit SU(d)-invariant gates. 2024.
- Bai G, Marvian I. Synthesis of Energy-Conserving Quantum Circuits with XY interaction. 2023.
- Marvian I. Theory of Quantum Circuits with Abelian Symmetries. 2023.
- Marvian I, Liu H, Hulse A. Rotationally-Invariant Circuits: Universality with the exchange interaction and two ancilla qubits. 2022.
- Marvian I. Operational Interpretation of Quantum Fisher Information in Quantum Thermodynamics. Phys Rev Lett. 2021 Dec 8;129:190502.
- Marvian I, Liu H, Hulse A. Qudit circuits with SU(d) symmetry: Locality imposes additional conservation laws. 2021 May 26;
- Marvian I. Inaccessible information in probabilistic models of quantum systems, non-contextuality inequalities and noise thresholds for contextuality. 2020 Mar 12;
- Marvian I. Restrictions on realizable unitary operations imposed by symmetry and locality. Nat Phys. 2020 Mar 11;18:283–9.
- Marvian I. Coherence distillation machines are impossible in quantum thermodynamics. Nature Communications. 2020 Jan 7;11(1).
- Wei KX, Peng P, Shtanko O, Marvian I, Lloyd S, Ramanathan C, et al. Emergent Prethermalization Signatures in Out-of-Time Ordered Correlations. Physical Review Letters. 2019 Aug 30;123(9).
- Marvian I, Spekkens RW. No-Broadcasting Theorem for Quantum Asymmetry and Coherence and a Trade-off Relation for Approximate Broadcasting. Physical Review Letters. 2019 Jul 12;123(2).
- Coles PJ, Katariya V, Lloyd S, Marvian I, Wilde MM. Entropic Energy-Time Uncertainty Relation. Physical Review Letters. 2019 Mar 12;122(10).
- Rebentrost P, Steffens A, Marvian I, Lloyd S. Quantum singular-value decomposition of nonsparse low-rank matrices. Physical Review A. 2018 Jan 24;97(1).
- Steffens A, Rebentrost P, Marvian I, Eisert J, Lloyd S. An efficient quantum algorithm for spectral estimation. New Journal of Physics. 2017 Mar 1;19(3):033005–033005.
- Marvian I. Symmetry-protected topological entanglement. Physical Review B. 2017 Jan 9;95(4).
- Marvian I, Spekkens RW. How to quantify coherence: Distinguishing speakable and unspeakable notions. Physical Review A. 2016 Nov 18;94(5).
- Marvian I, Lloyd S. From clocks to cloners: Catalytic transformations under covariant operations and recoverability. 2016 Aug 25;
- Marvian I, Lloyd S. Universal Quantum Emulator. 2016 Jun 8;
- Marvian I, Spekkens RW, Zanardi P. Quantum speed limits, coherence, and asymmetry. Physical Review A. 2016 May 24;93(5).
- Marvian I. Exponential suppression of decoherence and relaxation of quantum systems using energy penalty. 2016 Feb 9;
- Marvian I, Lidar DA. Quantum Speed Limits for Leakage and Decoherence. Physical Review Letters. 2015 Nov 18;115(21).
- Marvian I, Lidar DA. Quantum Error Suppression with Commuting Hamiltonians: Two Local is Too Local. Physical Review Letters. 2014 Dec 31;113(26).
- Marvian I, Spekkens RW. Modes of asymmetry: The application of harmonic analysis to symmetric quantum dynamics and quantum reference frames. Physical Review A. 2014 Dec 4;90(6).
- Marvian I, Spekkens RW. A Generalization of Schur–Weyl Duality with Applications in Quantum Estimation. Communications in Mathematical Physics. 2014 Oct;331(2):431–75.
- Marvian I, Spekkens RW. Asymmetry properties of pure quantum states. Physical Review A. 2014 Jul 30;90(1).
- Marvian I, Spekkens RW. Extending Noether’s theorem by quantifying the asymmetry of quantum states. Nature Communications. 2014 May 13;5(1).
- Marvian I, Spekkens RW. The theory of manipulations of pure state asymmetry: I. Basic tools, equivalence classes and single copy transformations. New Journal of Physics. 2013 Mar 1;15(3):033001–033001.
- Marvian I, Mann RB. Building all time evolutions with rotationally invariant Hamiltonians. Physical Review A. 2008 Aug 1;78(2).

### In The News

- Forbidden by symmetry (Jan 10, 2022 | Nature Physics)
- Marvian Wins National Science Foundation CAREER Award (Jul 12, 2021 | Pratt School of Engineering)