Measurements in two bases are sufficient for certifying high-dimensional entanglement

[1]  M. Lewenstein,et al.  Quantum Entanglement , 2020, Quantum Mechanics.

[2]  Umesh V. Vazirani,et al.  Fully device independent quantum key distribution , 2012, Commun. ACM.

[3]  S. Walborn,et al.  Mutual Unbiasedness in Coarse-Grained Continuous Variables. , 2017, Physical review letters.

[4]  Robert W Boyd,et al.  Single-shot measurement of the orbital-angular-momentum spectrum of light , 2016, 2018 Conference on Lasers and Electro-Optics (CLEO).

[5]  M. Padgett,et al.  Testing for entanglement with periodic coarse graining , 2015, 1506.01095.

[6]  James Schneeloch,et al.  Quantifying high-dimensional entanglement with Einstein-Podolsky-Rosen correlations , 2017, 1709.03626.

[7]  Mario Krenn,et al.  Experimental GHZ Entanglement beyond Qubits , 2017, 1708.03881.

[8]  Roberto Morandotti,et al.  On-chip generation of high-dimensional entangled quantum states and their coherent control , 2017, Nature.

[9]  C. Macchiavello,et al.  Multipartite correlations in mutually unbiased bases , 2017, 1701.07412.

[10]  Nicolas Gisin,et al.  Quantifying Photonic High-Dimensional Entanglement. , 2017, Physical review letters.

[11]  R. Ursin,et al.  Distribution of high-dimensional entanglement via an intra-city free-space link , 2016, Nature Communications.

[12]  Valerio Scarani,et al.  All pure bipartite entangled states can be self-tested , 2016, Nature Communications.

[13]  Mario Krenn,et al.  Orbital angular momentum of photons and the entanglement of Laguerre–Gaussian modes , 2016, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[14]  S. Walborn,et al.  Detecting entanglement of continuous variables with three mutually unbiased bases , 2016, 1604.07347.

[15]  A. Zeilinger,et al.  Automated Search for new Quantum Experiments. , 2015, Physical review letters.

[16]  A. Zeilinger,et al.  Multi-photon entanglement in high dimensions , 2015, Nature Photonics.

[17]  S. Danilin,et al.  Stimulated Raman adiabatic passage in a three-level superconducting circuit , 2015, Nature Communications.

[18]  Mario Krenn,et al.  Quantifying high dimensional entanglement with two mutually unbiased bases , 2015, 1512.05315.

[19]  Anton Zeilinger,et al.  Experimental access to higher-dimensional entangled quantum systems using integrated optics , 2015, 1502.06504.

[20]  C. Riofrio,et al.  Accurate and Robust Unitary Transformations of a High-Dimensional Quantum System. , 2014, Physical review letters.

[21]  S. Pádua,et al.  Detection of nonlocal superpositions , 2014 .

[22]  M. Curty,et al.  Secure quantum key distribution , 2014, Nature Photonics.

[23]  J. Siewert,et al.  Quantifying entanglement resources , 2014, 1402.6710.

[24]  Robert Fickler,et al.  Interface between path and orbital angular momentum entanglement for high-dimensional photonic quantum information , 2014, Nature Communications.

[25]  A. Zeilinger,et al.  Generation and confirmation of a (100 × 100)-dimensional entangled quantum system , 2013, Proceedings of the National Academy of Sciences.

[26]  Stephen M. Barnett,et al.  Mutually unbiased measurements for high-dimensional time-bin–based photonic states , 2013, 1311.2773.

[27]  Robert W Boyd,et al.  Efficient separation of the orbital angular momentum eigenstates of light , 2013, Nature Communications.

[28]  Marcus Huber,et al.  Weak randomness in device-independent quantum key distribution and the advantage of using high-dimensional entanglement , 2013, 1301.2455.

[29]  M J Padgett,et al.  Characterization of high-dimensional entangled systems via mutually unbiased measurements. , 2012, Physical review letters.

[30]  Jeffrey H. Shapiro,et al.  High-dimensional quantum key distribution using dispersive optics , 2012, Physical Review A.

[31]  S. Brierley,et al.  Entanglement detection via mutually unbiased bases , 2012, 1202.5058.

[32]  Adetunmise C. Dada,et al.  Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities , 2011, 1104.5087.

[33]  Robert W. Boyd,et al.  Exploring energy-time entanglement Using geometric phase , 2008, 2009 Conference on Lasers and Electro-Optics and 2009 Conference on Quantum electronics and Laser Science Conference.

[34]  R. Bertlmann,et al.  Bloch vectors for qudits , 2008, 0806.1174.

[35]  L. A. González,et al.  Pixelated phase computer holograms for the accurate encoding of scalar complex fields. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[36]  V. Scarani,et al.  Device-independent security of quantum cryptography against collective attacks. , 2007, Physical review letters.

[37]  Stefano Pironio,et al.  Maximally Non-Local and Monogamous Quantum Correlations , 2006, Physical review letters.

[38]  A. Vaziri,et al.  Experimental quantum cryptography with qutrits , 2005, quant-ph/0511163.

[39]  N. Langford,et al.  Generation of hyperentangled photon pairs. , 2005, Physical review letters.

[40]  Nicolas Gisin,et al.  Bell-Type Test of Energy-Time Entangled Qutrits , 2004 .

[41]  A. Vaziri,et al.  Experimental two-photon, three-dimensional entanglement for quantum communication. , 2002, Physical review letters.

[42]  N. Gisin,et al.  Creating high dimensional time-bin entanglement using mode-locked lasers , 2002, quant-ph/0204165.

[43]  Anders Karlsson,et al.  Security of quantum key distribution using d-level systems. , 2001, Physical review letters.

[44]  Peter W. Shor,et al.  Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem , 2001, IEEE Trans. Inf. Theory.

[45]  W. Wootters.  Entanglement of Formation of an Arbitrary State of Two Qubits , 1997, quant-ph/9709029.

[46]  Charles H. Bennett,et al.  Mixed-state entanglement and quantum error correction. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[47]  Charles H. Bennett,et al.  Quantum cryptography without Bell's theorem. , 1992, Physical review letters.

[48]  W. Wootters,et al.  Optimal state-determination by mutually unbiased measurements , 1989 .