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- Thiago Dias Baumgratz, Marcus Cramer, Martin B. Plenio
- Physical review letters
- 2014

We introduce a rigorous framework for the quantification of coherence and identify intuitive and easily computable measures of coherence. We achieve this by adopting the viewpoint of coherence as aâ€¦ (More)

- Marcus Cramer, Martin B. Plenio, +6 authors Yi-Kai Liu
- Nature communications
- 2010

Quantum state tomography--deducing quantum states from measured data--is the gold standard for verification and benchmarking of quantum devices. It has been realized in systems with few components,â€¦ (More)

- Marcus Cramer, Jens Eisert, Martin B. Plenio
- Physical review letters
- 2007

The entanglement entropy of a distinguished region of a quantum many-body system reflects the entanglement in its pure ground state. Here we establish scaling laws for this entanglement in criticalâ€¦ (More)

- Giacomo De Palma, Alessio Serafini, Vittorio Giovannetti, Marcus Cramer
- Physical review letters
- 2015

Under the eigenstate thermalization hypothesis (ETH), quantum-quenched systems equilibrate towards canonical, thermal ensembles. While at first glance the ETH might seem a very strong hypothesis, weâ€¦ (More)

We consider the problem of whether the canonical and microcanonical ensembles are locally equivalent for short-ranged quantum Hamiltonians of N spins arranged on a ddimensional lattices. For anyâ€¦ (More)

- Martin B. Plenio, Jens Eisert, J Dressig, Marcus Cramer
- Physical review letters
- 2005

We revisit the question of the relation between entanglement, entropy, and area for harmonic lattice Hamiltonians corresponding to discrete versions of real free Klein-Gordon fields. For the groundâ€¦ (More)

- Marcus Cramer, Cecilia Dawson, Jens Eisert, Tobias J. Osborne
- Physical review letters
- 2008

A reasonable physical intuition in the study of interacting quantum systems says that, independent of the initial state, the system will tend to equilibrate. In this work we introduce anâ€¦ (More)

- Marcus Cramer, Martin B. Plenio, Harald Wunderlich
- Physical review letters
- 2011

We show how entanglement may be quantified in spin and cold atom many-body systems using standard experimental techniques only. The scheme requires no assumptions on the state in the laboratory, andâ€¦ (More)

- Marcus Cramer, Jens Eisert
- 2006

We investigate the relationship between the gap between the energy of the ground state and the first excited state and the decay of correlation functions in harmonic lattice systems. We prove that inâ€¦ (More)

- Nathan Killoran, Marcus Cramer, Martin B. Plenio
- Physical review letters
- 2014

Identical particles and entanglement are both fundamental components of quantum mechanics. However, when identical particles are condensed in a single spatial mode, the standard notions ofâ€¦ (More)