[1] Chitambar E, Gour G. Critical examination of incoherent operations and a physically consistent resource theory of quantum coherence[J]. Physical Review Letters, 117, 030401(2016).

[2] Piani M, Horodecki P, Horodecki R. No-local-broadcasting theorem for multipartite quantum correlations[J]. Physical Review Letters, 100, 090502(2008).

[3] Luo S L, Sun W. Decomposition of bipartite states with applications to quantum no-broadcasting theorems[J]. Physical Review A, 82, 012338(2010).

[4] Melo L F, Jiménez O, Neves L. Coherence based on positive operator-valued measures for standard and concatenated quantum state discrimination with inconclusive results[J]. Physical Review A, 111, 012403(2025).

[5] Altintas F, Hardal A Ü C, Müstecaplıog̃lu Ö E. Quantum correlated heat engine with spin squeezing[J]. Physical Review E, 90, 032102(2014).

[6] Li B, Fei S M, Wang Z X et al. Assisted state discrimination without entanglement[J]. Physical Review A, 85, 022328(2012).

[7] Horodecki R, Horodecki P, Horodecki M et al. Quantum entanglement[J]. Reviews of Modern Physics, 81, 865-942(2009).

[8] Knill E, Laflamme R. Power of one bit of quantum information[J]. Physical Review Letters, 81, 5672-5675(1998).

[9] Datta A, Vidal G. Role of entanglement and correlations in mixed-state quantum computation[J]. Physical Review A, 75, 042310(2007).

[10] Wang W, Han J, Yadin B et al. Witnessing quantum resource conversion within deterministic quantum computation using one pure superconducting qubit[J]. Physical Review Letters, 123, 220501(2019).

[11] Acín A, Durt T, Gisin N et al. Quantum nonlocality in two three-level systems[J]. Physical Review A, 65, 052325(2002).

[12] Horodecki M, SenDe A, Sen U. Rates of asymptotic entanglement transformations for bipartite mixed states: maximally entangled states are not special[J]. Physical Review A, 67, 062314(2003).

[13] Ollivier H, Zurek W H. Quantum discord: a measure of the quantumness of correlations[J]. Physical Review Letters, 88, 017901(2002).

[14] Henderson L, Vedral V. Classical, quantum and total correlations[J]. Journal of Physics A Mathematical General, 34, 6899-6905(2001).

[15] Oppenheim J, Horodecki M, Horodecki P et al. Thermodynamical approach to quantifying quantum correlations[J]. Physical Review Letters, 89, 180402(2002).

[16] Devetak I. Distillation of local purity from quantum states[J]. Physical Review A, 71, 062303(2005).

[17] Luo S L. Using measurement-induced disturbance to characterize correlations as classical or quantum[J]. Physical Review A, 77, 022301(2008).

[18] Rajagopal A K, Rendell R W. Separability and correlations in composite states based on entropy methods[J]. Physical Review A, 66, 022104(2002).

[19] Groisman B, Popescu S, Winter A. Quantum, classical, and total amount of correlations in a quantum state[J]. Physical Review A, 72, 032317(2005).

[20] Modi K, Paterek T, Son W et al. Unified view of quantum and classical correlations[J]. Physical Review Letters, 104, 080501(2010).

[21] Adesso G, Datta A. Quantum versus classical correlations in Gaussian states[J]. Physical Review Letters, 105, 030501(2010).

[22] Datta A, Shaji A. Quantum discord and quantum computing—an appraisal[J]. International Journal of Quantum Information, 07, 1787-1805(2011).

[23] Bera A, Das T, Sadhukhan D et al. Quantum discord and its allies: a review of recent progress[J]. Reports on Progress in Physics, 81, 024001(2018).

[24] Madhok V, Datta A. Interpreting quantum discord through quantum state merging[J]. Physical Review A, 83, 032323(2011).

[25] Lanyon B P, Barbieri M, Almeida M P et al. Experimental quantum computing without entanglement[J]. Physical Review Letters, 101, 200501(2008).

[26] Zurek W H. Pointer basis of quantum apparatus: into what mixture does the wave packet collapse?[J]. Physical Review D, 24, 1516-1525(1981).

[27] Dakić B, Vedral V, Brukner Č. Necessary and sufficient condition for nonzero quantum discord[J]. Physical Review Letters, 105, 190502(2010).

[28] Duan L M, Giedke G, Cirac J I et al. Inseparability criterion for continuous variable systems[J]. Physical Review Letters, 84, 2722-2725(2000).

[29] Simon R. Peres-Horodecki separability criterion for continuous variable systems[J]. Physical Review Letters, 84, 2726-2729(2000).

[30] Giedke G, Cirac J I. Characterization of Gaussian operations and distillation of Gaussian states[J]. Physical Review A, 66, 032316(2002).

[31] Fiurášek J, Mišta L, Jr. Gaussian localizable entanglement[J]. Physical Review A, 75, 060302(2007).

[32] Weedbrook C, Pirandola S, García-Patrón R et al. Gaussian quantum information[J]. Reviews of Modern Physics, 84, 621-669(2012).

[33] Giorda P, Paris M G A. Gaussian quantum discord[J]. Physical Review Letters, 105, 020503(2010).

[34] Liu F, Tian G J, Wen Q Y et al. General bounds for quantum discord and discord distance[J]. Quantum Information Processing, 14, 1333-1341(2015).

[35] Rulli C C, Sarandy M S. Global quantum discord in multipartite systems[J]. Physical Review A, 84, 042109(2011).

[36] Vedral V. The role of relative entropy in quantum information theory[J]. Reviews of Modern Physics, 74, 197-234(2002).

[37] Okrasa M, Walczak Z. Quantum discord and multipartite correlations[J]. Europhysics Letters, 96, 60003(2011).

[38] Maziero J, Celeri L C, Serra R M. Symmetry aspects of quantum discord[EB/OL]. https://arxiv.org/abs/1004.2082v4

[39] Auccaise R, Maziero J, Céleri L C et al. Experimentally witnessing the quantumness of correlations[J]. Physical Review Letters, 107, 070501(2011).

[40] Vedral V, Plenio M B, Rippin M A et al. Quantifying entanglement[J]. Physical Review Letters, 78, 2275-2279(1997).

[41] Vedral V, Plenio M B. Entanglement measures and purification procedures[J]. Physical Review A, 57, 1619-1633(1998).

[42] Bravyi S. Entanglement entropy of multipartite pure states[J]. Physical Review A, 67, 012313(2003).

[43] Roa L, Retamal J C, Alid-Vaccarezza M. Dissonance is required for assisted optimal state discrimination[J]. Physical Review Letters, 107, 080401(2011).

[44] Coffman V, Kundu J, Wootters W K. Distributed entanglement[J]. Physical Review A, 61, 052306(2000).

[45] Osborne T J, Verstraete F. General monogamy inequality for bipartite qubit entanglement[J]. Physical Review Letters, 96, 220503(2006).

[46] Zhou D L, Zeng B, Xu Z et al. Multiparty correlation measure based on the cumulant[J]. Physical Review A, 74, 052110(2006).

[47] Kaszlikowski D, SenDe A, Sen U et al. Quantum correlation without classical correlations[J]. Physical Review Letters, 101, 070502(2008).

[48] Xu J W. Geometric global quantum discord[J]. Journal of Physics A: Mathematical and Theoretical, 45, 405304(2012).

[49] Bao J, Liu Y H, Guo B. Global quantum discord in the Lipkin-Meshkov-Glick model at zero and finite temperatures[J]. Journal of Physics: Condensed Matter, 33, 495401(2021).

[50] Giorgi G L, Bellomo B, Galve F et al. Genuine quantum and classical correlations in multipartite systems[J]. Physical Review Letters, 107, 190501(2011).

[51] Girolami D, Adesso G. Quantum discord for general two-qubit states: analytical progress[J]. Physical Review A, 83, 052108(2011).

[52] Wu X H, Zhou T. Quantum discord for the general two-qubit case[J]. Quantum Information Processing, 14, 1959-1971(2015).

[53] Ali M, Rau A R P, Alber G. Quantum discord for two-qubit X states[J]. Physical Review A, 81, 042105(2010).

[54] Wootters W K. Entanglement of formation and concurrence[J]. Quantum Information and Computation, 1, 27-44(2001).

[55] Fano U. Pairs of two-level systems[J]. Reviews of Modern Physics, 55, 855-874(1983).

[56] Luo S L. Quantum discord for two-qubit systems[J]. Physical Review A, 77, 042303(2008).

[57] Verstraete F, Dehaene J, DeMoor B. Local filtering operations on two qubits[J]. Physical Review A, 64, 010101(2001).

[58] Lu X M, Ma J, Xi Z J et al. Optimal measurements to access classical correlations of two-qubit states[J]. Physical Review A, 83, 012327(2011).

[59] Zhu X N, Fei S M, Li-Jost X. Analytical expression of quantum discord for rank-2 two-qubit states[J]. Quantum Information Processing, 17, 234(2018).

[60] Zhou J M, Hu X L, Jing N H. Quantum discord of certain two-qubit states[J]. International Journal of Theoretical Physics, 59, 415-425(2020).

[61] Chen Q, Zhang C J, Yu S X et al. Quantum discord of two-qubit X states[J]. Physical Review A, 84, 042313(2011).

[62] Yurischev M A. On the quantum discord of general X states[J]. Quantum Information Processing, 14, 3399-3421(2015).

[63] Qiang W C, Zhang H P, Zhang L. Geometric global quantum discord of two-qubit X states[J]. International Journal of Theoretical Physics, 55, 1833-1846(2016).

[64] Huang Y C. Quantum discord for two-qubit X states: analytical formula with very small worst-case error[J]. Physical Review A, 88, 014302(2013).

[65] Maldonado-Trapp A, Hu A Z, Roa L. Analytical solutions and criteria for the quantum discord of two-qubit X-states[J]. Quantum Information Processing, 14, 1947-1958(2015).

[66] Zhou X, Zheng Z J. Relations between the quantum correlation entropy and quantum discord for X-states in multipartite systems[J]. The European Physical Journal Plus, 137, 625(2022).

[67] Lamego V S, Braga D G, Balthazar W F et al. Experimental investigation of quantum discord in spin-orbit X states[J]. Physical Review A, 110, 032601(2024).

[68] Rau A R P. Calculation of quantum discord in higher dimensions for X- and other specialized states[J]. Quantum Information Processing, 17, 216(2018).

[69] Żukowski M, Zeilinger A, Horne M A et al. Quest for GHZ states[J]. Acta Physica Polonica A, 93, 187-195(1998).

[70] Mattle K, Weinfurter H, Kwiat P G et al. Dense coding in experimental quantum communication[J]. Physical Review Letters, 76, 4656-4659(1996).

[71] Bennett C H, Brassard G, Ekert A K. Quantum cryptography[J]. Scientific American, 267, 50-57(1992).

[72] Raussendorf R, Browne D E, Briegel H J. Measurement-based quantum computation on cluster states[J]. Physical Review A, 68, 022312(2003).

[73] Yimsiriwattana A, Lomonaco S. Generalized GHZ states and distributed quantum computing[EB/OL]. https://arxiv.org/abs/quant-ph/0402148

[74] Scarani V, Bechmann-Pasquinucci H, Cerf N J et al. The security of practical quantum key distribution[J]. Reviews of Modern Physics, 81, 1301-1350(2009).

[75] Greenberger D M, Horne M A, Zeilinger A. Going beyond Bell’s theorem[J]. Physics Today, 46, 22-29(1989).

[76] Luo J X, Guo Q. Quantum discord for three-qubit extended X-states[J]. International Journal of Theoretical Physics, 63, 129(2024).

[77] Xiong S T, Bai M Q, Xue D et al. Geometric discord of GHZ state under decoherence[J]. International Journal of Theoretical Physics, 62, 122(2023).

[78] Huang Z M, Qiu D W. Geometric quantum discord under noisy environment[J]. Quantum Information Processing, 15, 1979-1998(2016).

[79] Guo H, Liu J M, Zhang C J et al. Quantum discord of a three-qubit W-class state in noisy environments[J]. Quantum Information and Computation, 12, 677-692(2012).

[80] Xu P, Wang D, Ye L. Quantum correlation of a three-particle W-class state under quantum decoherence[J]. Chinese Physics B, 22, 100306(2013).

[81] Gu M L, Chrzanowski H M, Assad S M et al. Observing the operational significance of discord consumption[J]. Nature Physics, 8, 671-675(2012).

[82] Joo J, Park Y J, Oh S et al. Quantum teleportation via a W state[J]. New Journal of Physics, 5, 136(2003).

[83] Luo S L, Fu S S. Geometric measure of quantum discord[J]. Physical Review A, 82, 034302(2010).

[84] Mahler G, Weberruß V A. Quantum dynamics[M]. Quantum networks, 171-305(1995).

[85] Hassan A S M, Joag P S. Experimentally accessible geometric measure for entanglement in N-qubit pure states[J]. Physical Review A, 77, 062334(2008).

[86] Hassan A S M, Lari B, Joag P S. Tight lower bound to the geometric measure of quantum discord[J]. Physical Review A, 85, 024302(2012).

[87] Li B, Zhu C L, Liang X B et al. Quantum discord for multiqubit systems[J]. Physical Review A, 104, 012428(2021).

[88] Afik Y, de Nova J R M. Quantum discord and steering in top quarks at the LHC[J]. Physical Review Letters, 130, 221801(2023).

[89] Pati A K. Minimum classical bit for remote preparation and measurement of a qubit[J]. Physical Review A, 63, 014302(2000).

[90] Bennett C H, DiVincenzo D P, Shor P W et al. Remote state preparation[J]. Physical Review Letters, 87, 077902(2001).

[91] Bennett C H, Brassard G, Crépeau C et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels[J]. Physical Review Letters, 70, 1895-1899(1993).

[92] Dakić B, Lipp Y O, Ma X S et al. Quantum discord as resource for remote state preparation[J]. Nature Physics, 8, 666-670(2012).

[93] Giorgi G L. Quantum discord and remote state preparation[J]. Physical Review A, 88, 022315(2013).

[94] Horodecki P, Tuziemski J, Mazurek P et al. Can communication power of separable correlations exceed that of entanglement resource?[J]. Physical Review Letters, 112, 140507(2014).

[95] Bouwmeester D, Pan J W, Mattle K et al. Experimental quantum teleportation[J]. Nature, 390, 575-579(1997).

[96] Zeilinger A. Quantum teleportation[J]. Scientific American, 282, 50-59(2000).

[97] Ma X S, Herbst T, Scheidl T et al. Quantum teleportation over 143 kilometres using active feed-forward[J]. Nature, 489, 269-273(2012).

[98] Pirandola S, Eisert J, Weedbrook C et al. Advances in quantum teleportation[J]. Nature Photonics, 9, 641-652(2015).

[99] Tufarelli T, Girolami D, Vasile R et al. Quantum resources for hybrid communication via qubit-oscillator states[J]. Physical Review A, 86, 052326(2012).

[100] Berta M, Christandl M, Colbeck R et al. The uncertainty principle in the presence of quantum memory[J]. Nature Physics, 6, 659-662(2010).

[101] Xiao X, Feng M. Reexamination of the feedback control on quantum states via weak measurements[J]. Physical Review A, 83, 054301(2011).

[102] Wang Y K, Ma T, Fan H et al. Super-quantum correlation and geometry for Bell-diagonal states with weak measurements[J]. Quantum Information Processing, 13, 283-297(2014).

[103] Singh U, Pati A K. Quantum discord with weak measurements[J]. Annals of Physics, 343, 141-152(2014).

[104] Ji Y H. Dynamics of super-quantum discord and direct control with weak measurement in open quantum system[J]. Chinese Physics B, 24, 120302(2015).

[105] Ahadpour S, Mirmasoudi F. The role of noisy channels in quantum teleportation[J]. Revista Mexicana de Física, 66, 378-387(2020).

[106] Ahadpour S, Mirmasoudi F. Thermal quantum discord and super quantum discord teleportation via a two-qubit spin-squeezing model[J]. Theoretical and Mathematical Physics, 195, 628-639(2018).

[107] Chen L X. Quantum discord of thermal two-photon orbital angular momentum state: mimicking teleportation to transmit an image[J]. Light: Science & Applications, 10, 148(2021).

[108] Yu S Y. Potentials and challenges of using orbital angular momentum communications in optical interconnects[J]. Optics Express, 23, 3075-3087(2015).

[109] Boyd R W, Leach J, Jack B et al. New twist on light beams for quantum information science[J]. Optics and Photonics News, 21, 48(2010).

[110] Li M, Lu J, Chen Z W et al. 30 years of lithium-ion batteries[J]. Advanced Materials, 30, 1800561(2018).

[111] Alicki R, Fannes M. Entanglement boost for extractable work from ensembles of quantum batteries[J]. Physical Review E, 87, 042123(2013).

[112] Andolina G M, Keck M, Mari A et al. Extractable work, the role of correlations, and asymptotic freedom in quantum batteries[J]. Physical Review Letters, 122, 047702(2019).

[113] Francica G, Binder F C, Guarnieri G et al. Quantum coherence and ergotropy[J]. Physical Review Letters, 125, 180603(2020).

[114] Santos A C, Saguia A, Sarandy M S. Stable and charge-switchable quantum batteries[J]. Physical Review E, 101, 062114(2020).

[115] Cruz C, Anka M F, Santos A C. Quantum battery based on quantum discord at room temperature[J]. Quantum Science and Technology, 7, 025020(2022).

[116] Le T P, Levinsen J, Modi K et al. Spin-chain model of a many-body quantum battery[J]. Physical Review A, 97, 022106(2018).

[117] Ahlswede R, Cai N, Li S Y R et al. Network information flow[J]. IEEE Transactions on Information Theory, 46, 1204-1216(2000).

[118] Hayashi M, Iwama K, Nishimura H et al. Quantum network coding[M]. STACS 2007, 4393, 610-621(2007).

[119] Bužek V, Hillery M. Quantum copying: beyond the no-cloning theorem[J]. Physical Review A, 54, 1844-1852(1996).

[120] Jain A, Franceschetti M, Meyer D A. On quantum network coding[J]. Journal of Mathematical Physics, 52, 032201(2011).

[121] Cubitt T S, Verstraete F, Dür W et al. Separable States can be used to distribute entanglement[J]. Physical Review Letters, 91, 037902(2003).

[122] Kay A. Using separable Bell-diagonal states to distribute entanglement[J]. Physical Review Letters, 109, 080503(2012).

[123] Liu R, Shang T, Liu J W. Quantum network coding utilizing quantum discord resource fully[J]. Quantum Information Processing, 19, 58(2020).

[124] Dušek M, Lütkenhaus N, Hendrych M. Quantum cryptography[M]. Progress in optics, 49, 381-454(2006).

[125] Bernstein D J, Lange T. Post-quantum cryptography[J]. Nature, 549, 188-194(2017).

[126] Pirandola S, Andersen U L, Banchi L et al. Advances in quantum cryptography[J]. Advances in Optics and Photonics, 12, 1012-1236(2020).

[127] Liao S K, Cai W Q, Liu W Y et al. Satellite-to-ground quantum key distribution[J]. Nature, 549, 43-47(2017).

[128] Xu F H, Ma X F, Zhang Q et al. Secure quantum key distribution with realistic devices[J]. Reviews of Modern Physics, 92, 025002(2020).

[129] Pirandola S. Quantum discord as a resource for quantum cryptography[J]. Scientific Reports, 4, 6956(2014).

[130] Filip R. Continuous-variable quantum key distribution with noisy coherent states[J]. Physical Review A, 77, 022310(2008).

[131] Weedbrook C, Ottaviani C, Pirandola S. Two-way quantum cryptography at different wavelengths[J]. Physical Review A, 89, 012309(2014).

[132] Acín A, Brunner N, Gisin N et al. Device-independent security of quantum cryptography against collective attacks[J]. Physical Review Letters, 98, 230501(2007).

[133] Braunstein S L, Pirandola S. Side-channel-free quantum key distribution[J]. Physical Review Letters, 108, 130502(2012).

[134] Jozsa R, Linden N. On the role of entanglement in quantum-computational speed-up[J]. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 459, 2011-2032(2003).

[135] Lang M D, Caves C M, Shaji A. Entropic measures of non-classical correlations[J]. International Journal of Quantum Information, 07, 1553-1586(2011).

[136] Datta A, Shaji A, Caves C M. Quantum discord and the power of one qubit[J]. Physical Review Letters, 100, 050502(2008).

[137] Kay A. Degree of quantum correlation required to speed up a computation[J]. Physical Review A, 92, 062329(2015).

[138] Giovannetti V, Lloyd S, Maccone L. Quantum metrology[J]. Physical Review Letters, 96, 010401(2006).

[139] Brodutch A. Discord and quantum computational resources[J]. Physical Review A, 88, 022307(2013).

[140] Huang Y C. Computing quantum discord is NP-complete[J]. New Journal of Physics, 16, 033027(2014).

[141] Li T W, Wu Y, Jin F Z et al. Experimental investigation of quantum discord in DQC1[J]. JUSTC, 52, 2(2022).