90 citations · 135 across the 17 of their papers we have counts for
20 papers
Infinite magic and the emergence of the continuum
Leo Shaposhnik, Lorenzo Leone, Lennart Bittel +3
Which features of a quantum state are needed for a relativistic quantum field theory to emerge from a lattice system? We address this question by establishing a quantitative relati…
Computational entanglement distillation beyond pure states: efficient protocols and fundamental limitations
Takeru Utsumi, Jacopo Rizzo, Ryuji Takagi +1
The information-theoretic approach to entanglement typically relies on arbitrarily many input copies and unboundedly complex operations; however, the available resources are constr…
Universal quantum coding
Jacopo Rizzo, Ludovico Lami, Filippo Girardi +2
Entanglement distillation from noisy bipartite states and reliable quantum communication over noisy channels are fundamental tasks in quantum information theory. Yet existing codin…
Universal magic state concentration
Jacopo Rizzo, Lorenzo Leone
Magic plays a dual role in quantum computation: it promotes stabilizer dynamics from efficient classical simulability to computational universality, but also challenges fault-toler…
Fermionic entropy: an efficiently measurable strong monotone for non-Gaussianity
Lorenzo Leone, Lennart Bittel
Fermionic Gaussian states form a central class of classically tractable quantum states, while fermionic non-Gaussianity provides the resource required to go beyond free-fermion dyn…
The unbearable hardness of deciding about magic
Lorenzo Leone, Jens Eisert, Salvatore F. E. Oliviero
Identifying the boundary between classical and quantum computation is a central challenge in quantum information. In multi-qubit systems, entanglement and magic are the key resourc…
The computational two-way quantum capacity
Johannes Jakob Meyer, Jacopo Rizzo, Asad Raza +3
Quantum channel capacities are fundamental to quantum information theory. Their definition, however, does not limit the computational resources of sender and receiver. In this work…
Adaptively secure unitary designs with constant non-Clifford cost
Lennart Bittel, Lorenzo Leone
Randomness is a fundamental resource in quantum information, with crucial applications in cryptography, algorithms, and error correction. A central challenge is to construct unitar…
Computational relative entropy
Johannes Jakob Meyer, Asad Raza, Jacopo Rizzo +3
Our capacity to process information depends on the computational power at our disposal. Information theory captures our ability to distinguish states or communicate messages when i…
Operational interpretation of the Stabilizer Entropy
Lennart Bittel, Lorenzo Leone
Magic-state resource theory is a fundamental framework with far-reaching applications in quantum error correction and the classical simulation of quantum systems. Recent advances h…
A complete theory of the Clifford commutant
Lennart Bittel, Jens Eisert, Lorenzo Leone +2
The Clifford group plays a central role in quantum information science. It is the building block for many error-correcting schemes and matches the first three moments of the Haar m…
Entanglement theory with limited computational resources
Lorenzo Leone, Jacopo Rizzo, Jens Eisert +1
The precise quantification of the ultimate efficiency in manipulating quantum resources lies at the core of quantum information theory. However, purely information-theoretic measur…
Constant Overhead Entanglement Distillation via Scrambling
Andi Gu, Lorenzo Leone, Kenneth Goodenough +1
High-fidelity quantum entanglement enables key quantum networking capabilities such as secure communication and distributed quantum computing, but long-distance entanglement distri…
Simulating quantum chaos without chaos
Andi Gu, Yihui Quek, Susanne Yelin +2
Quantum chaos is a quantum many-body phenomenon that is associated with a number of intricate properties, such as level repulsion in energy spectra or distinct scalings of out-of-t…
Optimal trace-distance bounds for free-fermionic states: Testing and improved tomography
Lennart Bittel, Antonio Anna Mele, Jens Eisert +1
Free-fermionic states, also known as fermionic Gaussian states, represent an important class of quantum states ubiquitous in physics. They are uniquely and efficiently described by…
Experimental measurement and a physical interpretation of quantum shadow enumerators
Daniel Miller, Kyano Levi, Lukas Postler +18
Throughout its history, the theory of quantum error correction has heavily benefited from translating classical concepts into the quantum setting. In particular, classical notions…
Efficient distributed inner product estimation via Pauli sampling
Marcel Hinsche, Marios Ioannou, Sofiene Jerbi +3
Cross-platform verification is the task of comparing the output states produced by different physical platforms using solely local quantum operations and classical communication. W…
Learning quantum states of continuous variable systems
Francesco Anna Mele, Antonio Anna Mele, Lennart Bittel +5
Quantum state tomography, aimed at deriving a classical description of an unknown state from measurement data, is a fundamental task in quantum physics. In this work, we analyse th…
Stabilizer entropies are monotones for magic-state resource theory
Lorenzo Leone, Lennart Bittel
Magic-state resource theory is a powerful tool with applications in quantum error correction, many-body physics, and classical simulation of quantum dynamics. Despite its broad sco…
PAC-learning of free-fermionic states is NP-hard
Lennart Bittel, Antonio A. Mele, Jens Eisert +1
Free-fermionic states, also known as matchgates or Gaussian states, are a fundamental class of quantum states due to their efficient classical simulability and their crucial role a…