19 citations · 56 across the 23 of their papers we have counts for
25 papers
Analytical results for the Shannon entropy of the critical transverse-field Ising chain
M. A. Rajabpour
Local-basis Shannon entropies of critical wave functions contain universal subleading information, but the Shannon point of the critical transverse-field Ising chain is singular in…
A Single Conformal Coordinate Decodes Outcome-Resolved Measurement-Induced Entanglement
Reyhaneh Khasseh, M. A. Rajabpour
A local measurement of a critical many-body state produces exponentially many microscopic outcomes, each defining a different conditioned quantum state. We ask how much information…
Classical Root Systems Reveal Defect-Junction Data in Stabilizer Renyi Entropy
M. A. Rajabpour
Universal information extracted from a critical quantum state depends on how the state is probed. Spatial entanglement, participation statistics, and stabilizer Rényi entropy corre…
The Pauli Probability Spectrum Carries the Pure-State Quantum Fisher Metric
E. A. Ramirez Trino, M. A. Rajabpour
How a quantum state responds to small parameter changes underlies state distinguishability, many-body response, and metrological sensitivity. The Pauli probability spectrum provide…
Microscopic Origin of the Shannon Renyi Boundary Phase in the Critical Ising Chain
M. A. Rajabpour
Shannon--Rényi entropies probe the full measurement distribution of a quantum many-body state, but their microscopic evaluation remains difficult even in free-fermion systems. We s…
Quantized Stabilizer-Rényi Boundary Response across Fermionic SPT Transitions
M. A. Rajabpour
Open boundaries host symmetry-protected Majorana modes, yet their imprint on the stabilizer Rényi entropy is obscured by a nonuniversal volume law. At Rényi index , we isola…
Fugacity-Resolved Stabilizer Entropy in Critical Quantum Chains: Discrete Selberg Sums and Exactly Solvable Rényi Indices
Reyhaneh Khasseh, M. A. Rajabpour
Stabilizer Rényi entropy quantifies the nonstabilizerness of a quantum state through Rényi moments of its Pauli expectation-value distribution. Its standard form sums over Pauli-st…
Universal Crossovers of Stabilizer Entropy Beyond Criticality
Reyhaneh Khasseh, E. A. Ramirez Trino, M. A. Rajabpour
Stabilizer Rényi entropy has emerged as a probe of nonstabilizerness in quantum many-body systems, but its scaling structure beyond critical points remains poorly understood compar…
Hidden Conformal Boundary Data in Finite-Temperature Stabilizer Entropy
Reyhaneh Khasseh, M. A. Rajabpour
We study the finite-temperature stabilizer Rényi entropy of the open critical quantum spin chains. At Rényi index one half, this observable probes the distribution of thermal Pauli…
A Generalized Grassmann-Pfaffian Framework for Monomer-Dimer and Spanning Trees
E. A. Ramirez Trino, M. A. Seifi MirJafarlou, M. A. Rajabpour
We develop a unified framework for Berezin integrals over Grassmann variables that establishes master identities for exponential quadratic fermionic forms and linear fermionic form…
Equivalence of Stabilizer and Shannon Rényi Entropies: Exact Results for Quantum Critical Chains
E. A. Ramirez Trino, M. A. Rajabpour
Shannon-Rényi and stabilizer entropies are key diagnostics of structure, ``nonstabilizerness,'' phase transitions, and universality in quantum many-body states. We establish an exa…
Efficient computation of average subsystem Bures distance between fermionic Gaussian states
Zhouhao Guo, M. A. Rajabpour, Jiaju Zhang
The average subsystem trace distance has been proposed as an indicator of quantum many-body chaos and integrability. However, evaluating it presents two main difficulties: high com…
Matrix Elements of Fermionic Gaussian Operators in Arbitrary Pauli Bases: A Pfaffian Formula
M. A. Rajabpour, MirAdel Seifi MirJafarlou, Reyhaneh Khasseh
Fermionic Gaussian operators are foundational tools in quantum many-body theory, numerical simulation of fermionic dynamics, and fermionic linear optics. While their structure is f…
Explicit Pfaffian Formula for Amplitudes of Fermionic Gaussian Pure States in Arbitrary Pauli Bases
M. A. Rajabpour, M. A. Seifi Mirjafarlou, Reyhaneh Khasseh
The explicit computation of amplitudes for fermionic Gaussian pure states in arbitrary Pauli bases is a long-standing challenge in quantum many-body physics, with significant impli…
Subsystem Evolution Speed as Indicator of Relaxation
Jiaju Zhang, M. A. Rajabpour, Markus Heyl +1
In studying the time evolution of isolated many-body quantum systems, a key focus is determining whether the system undergoes relaxation and reaches a steady state at a given point…
Statistical physics of principal minors: Cavity approach
A. Ramezanpour, M. A. Rajabpour
Determinants are useful to represent the state of an interacting system of (effectively) repulsive and independent elements, like fermions in a quantum system and training samples…
A field theory representation of sum of powers of principal minors and physical applications
M. N. Najafi, A. Ramezanpour, M. A. Rajabpour
We introduce a novel field theory representation for the Sum of Powers of Principal Minors (SPPM), a mathematical construct with profound implications in quantum mechanics and stat…
Efficient Representation of Gaussian Fermionic Pure States in Non-Computational Bases
Babak Tarighi, Reyhaneh Khasseh, M. A. Rajabpour
This paper introduces an innovative approach for representing Gaussian fermionic states, pivotal in quantum spin systems and fermionic models, within a range of alternative quantum…
Bootstrapping entanglement in quantum spin systems
Jiaju Zhang, Arash Jafarizadeh, M. A. Rajabpour
In this paper, we employ the bootstrap method, a technique that relies on consistency relations instead of direct diagonalization, to determine the expectation values in quantum ma…
Generalization of Balian-Brezin decomposition for exponentials with linear fermionic part
M. A. Seifi Mirjafarlou, A. Jafarizadeh, M. A. Rajabpour
Fermionic Gaussian states have garnered considerable attention due to their intriguing properties, most notably Wick's theorem. Expanding upon the work of Balian and Brezin, who ge…
Entanglement entropy in quantum spin chains with broken parity number symmetry
Arash Jafarizadeh, M. A. Rajabpour
Consider a generic quantum spin chain that can be mapped to free quadratic fermions via Jordan-Wigner (JW) transformation. In the presence of arbitrary boundary magnetic fields, th…
Universal Rényi Entropy of Quasiparticle Excitations
Jiaju Zhang, M. A. Rajabpour
The Rényi entropies of quasiparticle excitations in the many-body gapped systems show a remarkable universal picture which can be understood partially by combination of a semiclass…
Discrete holomorphic parafermions in the Ashkin-Teller model and SLE
Y. Ikhlef, M. A. Rajabpour
We find discrete holomorphic parafermions of the Ashkin-Teller model on the critical line, by mapping appropriate interfaces of the model to the model. We give support to…
Conformal Curves in Potts Model: Numerical Calculation
F. Gliozzi, M. A. Rajabpour
We calculated numerically the fractal dimension of the boundaries of the Fortuin-Kasteleyn clusters of the -state Potts model for integer and non-integer values of on the sq…