Hybrid Stabilizer Matrix Product Operator

Abstract

We introduce a novel hybrid approach combining tensor network methods with the stabilizer formalism to address the challenges of simulating many-body quantum systems. By integrating these techniques, we enhance our ability to accurately model unitary dynamics while mitigating the exponential growth of entanglement encountered in classical simulations. We demonstrate the effectiveness of our method through applications to random Clifford T-doped circuits and Random Clifford Floquet Dynamics. This approach offers promising prospects for advancing our understanding of complex quantum phenomena and accelerating progress in quantum simulation.

7 pages, 5 figures

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Cited by in corpus (18)

• Magic spreading in random quantum circuits
• Magic Resources of the Heisenberg Picture
• Probing quantum complexity via universal saturation of stabilizer entropies
• Clifford Dressed Time-Dependent Variational Principle
• Stabilizer disentangling of conformal field theories
• Stabilizer Tensor Networks with Magic State Injection
• Stabilizer Rényi Entropy and Conformal Field Theory
• Nonstabilizerness of a Boundary Time Crystal
• Disentangling magic states with classically simulable quantum circuits
• Non-stabilizerness of Neural Quantum States
• Stabilizer-Accelerated Quantum Many-Body Ground-State Estimation
• Nonstabilizerness generation in a multiparticle quantum walk
• Analyzing the free states of one quantum resource theory as resource states of another
• Clifford-Dressed Variational Principles for Precise Loschmidt Echoes
• Limits of Clifford Disentangling in Tensor Network States
• High-expressibility Quantum Neural Networks using only classical resources
• Generalized Code Distance through Rotated Logical States in Quantum Error Correction
• Disentangling quantum autoencoder