I am a theoretical physicist working on Quantum information and computation theory.
All my papers can be found here .
Current Group Members
- Undergraduate Students: Joey Li, Yikai Wu
The theory of quantum information and quantum computation is an interdisciplinary field at the boundary of physics, engineering, and computer science. On the one hand, it looks at the fundamental limits of nature on computation and communication, and on the other hand, it studies more practical questions, such as how to overcome decoherence and build a fault-tolerant quantum computer, or how to efficiently simulate the ground state and the dynamics of a many-body system. I have broad interests in Quantum Information Science (Read a short overview of this field).
I believe the revolution that happened in quantum information science in the last two decades, is going to have a profound influence on the rest of physics, and I am interested to work in this direction. In addition to this aspect of my research program, I am interested in all sorts of topics in quantum information science, from quantum algorithms and quantum cryptography, to open quantum systems, quantum error correction and quantum metrology.
Here are some of the topics I have worked on in the past:
- Quantum Thermodynamics and Quantum Resource Theories
(Quantum Clocks, Quantum Reference frames, Coherence, Asymmetry,….)
What is a Quantum Resource Theory?
If one looks at the scientific history of the theory of entanglement, the turning point is easily seen to occur in the mid-nineties, at the point when researchers in quantum information theory began to consider entanglement as “a resource as real as energy”. It gradually became clear that the entanglement theory should be understood asa framework to study questions about manipulating resource states for performing certain tasks, similar to the theory of thermodynamics. From this point on, entangled states and entangling operations were defined as those states and operations that cannot be implemented when one only has access to Local Operations and Classical Communication. Researchers then began to systematically answer questions such as: under this kind of restriction when is it possible to convert one resource state into another? How do we quantify the resource? What is the resource cost of simulating an operation? Subsequently, motivated by the success of the resource theory approach to entanglement, many researchers started applying this approach to understand other properties of quantum systems, such as coherence, asymmetry and athermality in quantum thermodynamics.
- I. Marvian, Coherence distillation machines are impossible in quantum thermodynamics, arXiv:1805.01989.
- G. Gour, D. Jennings, F. Buscemi, R. Duan, I. Marvian, Quantum majorization and a complete set of entropic conditions for quantum thermodynamics, arXiv:1708.04302 (To appear in Nature Communications).
- I. Marvian and R. W. Spekkens, How to quantify coherence: Distinguishing speakable and unspeakable notions, Phys. Rev. A 94 , 052324 (2016 ), Editors’ Suggestion, arXiv:1602.08049 .
- I. Marvian and R. W. Spekkens, Extending Noether’s theorem by quantifying the asymmetry of quantum states, Nature Communications 5 , 3821 (2014 ), arXiv:1404.3236.
- A. Kolchinsky, I. Marvian, C. Gokler, , Z. Liu, , P. Shor, O. Shtanko, K. Thompson, D.Wolpert, S. Lloyd, Maximizing free energy gain, arXiv:1705.00041.
- I. Marvian and R. W. Spekkens, The theory of manipulations of pure state asymmetry I: basic tools and equivalence classes of states under symmetric operations, New J. Phys. 15 , 033001 (2013), arXiv:1602.08049.
- I. Marvian and R. W. Spekkens, Modes of asymmetry: the application of harmonic analysis to symmetric quantum dynamics and quantum reference frames, Phys. Rev. A 90 , 062110 (2014 ), arXiv:1312.0680.
- Quantum Error Suppression for Adiabatic Quantum Computation, Open Quantum systems
- I. Marvian and D. A. Lidar, Quantum speed limits for leakage and decoherence, Phys. Rev. Lett. 115 , 210402 (2015 ), arXiv:1505.07850 .
- I. Marvian and D. A. Lidar, Quantum error suppression with commuting Hamiltonians: Two-local is too local , Phys. Rev. Lett. 113 , 260504 (2014 ), arXiv:1410.5487.
I. Marvian, Exponential suppression of decoherence and relaxation of quantum systems using energy penalty, arXiv:1602.03251.
- Quantum Algorithms and Learning theory
- A. Steffens, P. Rebentrost, I. Marvian, J. Eisert, S. Lloyd, An efficient quantum algorithm for spectral estimation, New J. Phys. 19 (3 ), 033005 (2017 ), arXiv:1609.08170 .
- P. Rebentrost, A Steffens, I. Marvian, S. Lloyd, Quantum singular-value decomposition of nonsparse low-rank matrices, Physical review A 97 (1), 012327 (2018).
I. Marvian and S. Lloyd, Universal Quantum Emulator, arXiv:1606.02734.
- Symmetry-Protected topological order
and computational phases of matter
- I. Marvian, Symmetry-Protected Topological Entanglement, Phys. Rev. B 95 , 045111 (2017 ), arXiv:1307.6617.
- Quantum Speed Limits and Uncertainty relations
I. Marvian, R.W. Spekkens, and Paolo Zanardi, Quantum speed limits, coherence and asymmetry, Phys. Rev. A 93 , 052331 (2016 ), Editors’ Suggestion, arXiv:1510.06474.
I. Marvian and D. A. Lidar, Quantum speed limits for leakage and decoherence, Phys. Rev. Lett. 115 , 210402 (2015 ), arXiv:1505.07850 .
P. Coles, V. Katariya, S. Lloyd, I. Marvian, M. Wilde, Entropic Energy-Time Uncertainty Relation, arXiv:1805.07772.
I completed my PhD in Physics in October 2012 at the University of Waterloo and Perimeter Institute for Theoretical Physics in Waterloo, Ontario. My PhD thesis is titled Symmetry, Asymmetry and Quantum Information, and is available here. After PhD, I worked at the University of Southern California (Nov 2012-Aug 2015) and MIT (Sept 2015-Dec 2017) as postdoctoral researcher. I joined Duke university as an assistant professor in January 2018.