Engineering, controlling, and simulating quantum dynamics is a strenuous task. However, these techniques are crucial to develop quantum technologies, preserve quantum properties, and engineer decoherence. Earlier results have demonstrated reservoir engineering, construction of a quantum simulator for Markovian open systems, and controlled transition from Markovian to non-Markovian regime. Dephasing is an ubiquitous mechanism to degrade the performance of quantum computers. However, all-purpose quantum simulator for generic dephasing is still missing. Here, we demonstrate full experimental control of dephasing allowing us to implement arbitrary decoherence dynamics of a qubit. As examples, we use a photon to simulate the dynamics of a qubit coupled to an Ising chain in a transverse field and also demonstrate a simulation of nonpositive dynamical map. Our platform opens the possibility to simulate dephasing of any physical system and study fundamental questions on open quantum systems.

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Six Zn­(II) coordination polymers, [Zn­(H2L)­(Hipa-CH3)2]·2H2O (1), [Zn2(HL)2(ipa-CH3)] (2), [Zn2(HL)2(ipa-NO2)]·2H2O (3), [Zn2(HL)2(ipa-NO2)] (4), [Zn2(HL)­(BTCA)­(H2O)]·H2O (5), and [Zn3(HL)3(BTCA)] (6), were synthesized by reactions of Zn­(II) salts with rigid ligand 1-(1H-imidazol-4-yl)-4-(4H-tetrazol-5-yl)­benzene (H2L) and different carboxylic acids, 5-methyl-isophthalic acid (H2ipa-CH3), 5-nitro-isophthalic acid (H2ipa-NO2), and 1,2,4-benzenetricarboxylic acid (H3BTCA). Complexes 1 and 2 were formed under different pH values, and 1 is a one-dimensional (1D) chain extended by hydrogen bonds and π–π stacking interactions to form a three-dimensional (3D) supramolecular polymer, while 2 exhibits a uninodal 6-connected 3D architecture with (412·63)-pcu topology based on the binuclear Zn­(II) secondary building units (SBUs). Polymers 3 and 4 present a pair of pseudopolymorphs with layered-pillared framework. Polymer 3 possesses Zn2(HL–)2 2+ sheets pillared by the ipa-NO2 2– ligand to form a 3D net, while 4 builds on the [Zn2(HL)­(ipa-NO2)]+ layer pillared by HL– ligand. Complex 5 is a (3,8)-connected tfz-d 3D net with point (Schläfli) symbol (43)2(46·618·84) based on the tetranuclear [Zn4(COO)4] SBUs, while the BTCA3– ligands act as three-connector pillars to link adjacent [Zn3(HL–)3]3– layers into a 3D net for 6. Complexes 1–6 exhibit intense light blue emission in the solid state at room temperature, and activated sample 6 shows highly selective CO2 uptake over N2 and H2.